http://wiki.math.se/wikis/sf0600_0701/index.php?action=history&feed=atom&title=%C3%96vn_1.3 Övn 1.3 - Versionshistorik 2026-04-24T21:10:03Z Versionshistorik för denna sida på wikin MediaWiki 1.9.3 http://wiki.math.se/wikis/sf0600_0701/index.php?title=%C3%96vn_1.3&diff=2246&oldid=prev KTH.SE:u1zpa8nw: Tar bort sidans innehåll 2007-07-16T08:01:56Z <p>Tar bort sidans innehåll</p> <table border='0' width='98%' cellpadding='0' cellspacing='4' style="background-color: white;"> <tr> <td colspan='2' width='50%' align='center' style="background-color: white;">← Äldre version</td> <td colspan='2' width='50%' align='center' style="background-color: white;">Versionen från 16 juli 2007 kl. 08.01</td> </tr> <tr><td colspan="2" align="left"><strong>Rad 1:</strong></td> <td colspan="2" align="left"><strong>Rad 1:</strong></td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">__NOTOC__</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">==&amp;Ouml;vning 1.3:1==</td><td colspan="2">&nbsp;</td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;"></td><td> </td><td style="background: #eee; font-size: smaller;"></td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;div class=&quot;ovning&quot;&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">Ber&amp;auml;kna </td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;table width=&quot;100%&quot; cellspacing=&quot;10px&quot;&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;tr align=&quot;left&quot;&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;td class=&quot;ntext&quot;&gt;a)&lt;/td&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;td class=&quot;ntext&quot; width=&quot;25%&quot;&gt;$2^3\cdot3^2$&lt;/td&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;td class=&quot;ntext&quot;&gt;b)&lt;/td&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;td class=&quot;ntext&quot; width=&quot;25%&quot;&gt;$3^5\cdot9^{-2}$&lt;/td&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;td class=&quot;ntext&quot;&gt;c)&lt;/td&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;td class=&quot;ntext&quot; width=&quot;25%&quot;&gt;$(-5)^3$&lt;/td&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;td class=&quot;ntext&quot;&gt;d)&lt;/td&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;td class=&quot;ntext&quot; width=&quot;25%&quot;&gt;$\Bigl(\displaystyle \frac{2}{3}\Bigr)^{-3}$&lt;/td&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;/tr&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;tr&gt;&lt;td height=&quot;5px&quot;/&gt;&lt;/tr&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;/table&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;/div&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;"></td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">==&amp;Ouml;vning 1.3:2==</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;"></td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;div class=&quot;ovning&quot;&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">Skriv som en potens av 2</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;table width=&quot;100%&quot; cellspacing=&quot;10px&quot;&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;tr align=&quot;left&quot;&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;td class=&quot;ntext&quot;&gt;a)&lt;/td&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;td class=&quot;ntext&quot; width=&quot;33%&quot;&gt;$2\cdot4\cdot8$&lt;/td&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;td class=&quot;ntext&quot;&gt;b)&lt;/td&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;td class=&quot;ntext&quot; width=&quot;33%&quot;&gt;$0{,}25$&lt;/td&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;td class=&quot;ntext&quot;&gt;c)&lt;/td&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;td class=&quot;ntext&quot; width=&quot;33%&quot;&gt;$1$&lt;/td&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;/tr&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;tr&gt;&lt;td height=&quot;5px&quot;/&gt;&lt;/tr&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;/table&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;/div&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;"></td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">==&amp;Ouml;vning 1.3:3==</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;"></td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;div class=&quot;ovning&quot;&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">Skriv som en potens av 3</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;table width=&quot;100%&quot; cellspacing=&quot;10px&quot;&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;tr align=&quot;left&quot;&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;td class=&quot;ntext&quot;&gt;a)&lt;/td&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;td class=&quot;ntext&quot; width=&quot;20%&quot;&gt;$\displaystyle \frac{1}{3}$&lt;/td&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;td class=&quot;ntext&quot;&gt;b)&lt;/td&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;td class=&quot;ntext&quot; width=&quot;20%&quot;&gt;$243$&lt;/td&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;td class=&quot;ntext&quot;&gt;c)&lt;/td&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;td class=&quot;ntext&quot; width=&quot;20%&quot;&gt;$9^2$&lt;/td&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;td class=&quot;ntext&quot;&gt;d)&lt;/td&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;td class=&quot;ntext&quot; width=&quot;20%&quot;&gt;$\displaystyle \frac{1}{27}$&lt;/td&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;td class=&quot;ntext&quot;&gt;e)&lt;/td&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;td class=&quot;ntext&quot; width=&quot;20%&quot;&gt;$\displaystyle \frac{3}{9^2}$&lt;/td&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;/tr&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;tr&gt;&lt;td height=&quot;5px&quot;/&gt;&lt;/tr&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;/table&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;/div&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;"></td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">==&amp;Ouml;vning 1.3:4==</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;"></td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;div class=&quot;ovning&quot;&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">Ber&amp;auml;kna</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;table width=&quot;100%&quot; cellspacing=&quot;10px&quot;&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;tr align=&quot;left&quot;&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;td class=&quot;ntext&quot;&gt;a)&lt;/td&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;td class=&quot;ntext&quot; width=&quot;33%&quot;&gt;$2^{9}\cdot2^{-7}$&lt;/td&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;td class=&quot;ntext&quot;&gt;b)&lt;/td&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;td class=&quot;ntext&quot; width=&quot;33%&quot;&gt;$3^{13}\cdot9^{-3}\cdot27^{\,-2}$&lt;/td&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;td class=&quot;ntext&quot;&gt;c)&lt;/td&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;td class=&quot;ntext&quot; width=&quot;33%&quot;&gt;$\displaystyle \frac{5^{12}}{5^{-4}}\cdot(5^{2})^{-6}$&lt;/td&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;/tr&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;tr align=&quot;left&quot;&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;td class=&quot;ntext&quot;&gt;d)&lt;/td&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;td class=&quot;ntext&quot; width=&quot;33%&quot;&gt;$2^{2^{\scriptstyle3}}\cdot(-2)^{\scriptstyle-4}$&lt;/td&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;td class=&quot;ntext&quot;&gt;e)&lt;/td&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;td class=&quot;ntext&quot; width=&quot;33%&quot;&gt;$625\cdot(5^{8}+5^{9})^{-1}$&lt;/td&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;/tr&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;tr&gt;&lt;td height=&quot;5px&quot;/&gt;&lt;/tr&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;/table&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;/div&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;"></td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">==&amp;Ouml;vning 1.3:5==</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;"></td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;div class=&quot;ovning&quot;&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">Ber&amp;auml;kna</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;table width=&quot;100%&quot; cellspacing=&quot;10px&quot;&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;tr align=&quot;left&quot;&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;td class=&quot;ntext&quot;&gt;a)&lt;/td&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;td class=&quot;ntext&quot; width=&quot;33%&quot;&gt;$4^{1/2}$&lt;/td&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;td class=&quot;ntext&quot;&gt;b)&lt;/td&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;td class=&quot;ntext&quot; width=&quot;33%&quot;&gt;$4^{-1/2}$&lt;/td&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;td class=&quot;ntext&quot;&gt;c)&lt;/td&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;td class=&quot;ntext&quot; width=&quot;33%&quot;&gt;$9^{3/2}$&lt;/td&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;/tr&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;tr align=&quot;left&quot;&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;td class=&quot;ntext&quot;&gt;d)&lt;/td&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;td class=&quot;ntext&quot; width=&quot;33%&quot;&gt;$\left(47^{2/3} \right) ^{3}$&lt;/td&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;td class=&quot;ntext&quot;&gt;e)&lt;/td&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;td class=&quot;ntext&quot; width=&quot;33%&quot;&gt;$3^{1{,}4}\cdot3^{0{,}6}$&lt;/td&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;td class=&quot;ntext&quot;&gt;f)&lt;/td&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;td class=&quot;ntext&quot; width=&quot;33%&quot;&gt;$\bigl( 125 ^{1/3} \bigr)^2\cdot \bigl( 27^{1/3} \bigr)^{-2}\cdot9^{1/2}$&lt;/td&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;/tr&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;tr&gt;&lt;td height=&quot;5px&quot;/&gt;&lt;/tr&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;/table&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;/div&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;"></td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">==&amp;Ouml;vning 1.3:6==</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;div class=&quot;ovning&quot;&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">Avg&amp;ouml;r vilket tal som &amp;auml;r st&amp;ouml;rst av </td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;table width=&quot;100%&quot; cellspacing=&quot;10px&quot;&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;tr align=&quot;left&quot;&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;td class=&quot;ntext&quot;&gt;a)&lt;/td&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;td class=&quot;ntext&quot; width=&quot;33%&quot;&gt;$256^{1/3}\ $ och $\ 200^{1/3}$&lt;/td&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;td class=&quot;ntext&quot;&gt;b)&lt;/td&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;td class=&quot;ntext&quot; width=&quot;33%&quot;&gt;$0{,}5^{-3}\ $ och $\ 0{,}4^{-3}$&lt;/td&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;td class=&quot;ntext&quot;&gt;c)&lt;/td&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;td class=&quot;ntext&quot; width=&quot;33%&quot;&gt;$0{,}2^5\ $ och $\ 0{,}2^{7}$&lt;/td&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;/tr&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;tr align=&quot;left&quot;&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;td class=&quot;ntext&quot;&gt;d)&lt;/td&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;td class=&quot;ntext&quot; width=&quot;33%&quot;&gt;$400^{1/3}\ $ och $\ \bigl(5^{1/3}\bigr)^{4}$&lt;/td&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;td class=&quot;ntext&quot;&gt;e)&lt;/td&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;td class=&quot;ntext&quot; width=&quot;33%&quot;&gt;$125^{1/2}\ $ och $\ 625^{1/3}$&lt;/td&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;td class=&quot;ntext&quot;&gt;f)&lt;/td&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;td class=&quot;ntext&quot; width=&quot;33%&quot;&gt;$2^{56}\ $ och $\ 3^{40}$&lt;/td&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;/tr&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;tr&gt;&lt;td height=&quot;5px&quot;/&gt;&lt;/tr&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;/table&gt;</td><td colspan="2">&nbsp;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;/div&gt;</td><td colspan="2">&nbsp;</td></tr> </table> KTH.SE:u1zpa8nw http://wiki.math.se/wikis/sf0600_0701/index.php?title=%C3%96vn_1.3&diff=2230&oldid=prev KTH.SE:u1zpa8nw: Ny sida: __NOTOC__ ==&Ouml;vning 1.3:1== <div class="ovning"> Ber&auml;kna <table width="100%" cellspacing="10px"> <tr align="left"> <td class="ntext">a)</td> <td class="ntext" width="25%">$2^3\cd... 2007-07-16T07:48:45Z <p>Ny sida: __NOTOC__ ==&amp;Ouml;vning 1.3:1== &lt;div class=&quot;ovning&quot;&gt; Ber&amp;auml;kna &lt;table width=&quot;100%&quot; cellspacing=&quot;10px&quot;&gt; &lt;tr align=&quot;left&quot;&gt; &lt;td class=&quot;ntext&quot;&gt;a)&lt;/td&gt; &lt;td class=&quot;ntext&quot; width=&quot;25%&quot;&gt;$2^3\cd...</p> <p><b>Ny sida</b></p><div>__NOTOC__<br /> ==&amp;Ouml;vning 1.3:1==<br /> <br /> &lt;div class=&quot;ovning&quot;&gt;<br /> Ber&amp;auml;kna <br /> &lt;table width=&quot;100%&quot; cellspacing=&quot;10px&quot;&gt;<br /> &lt;tr align=&quot;left&quot;&gt;<br /> &lt;td class=&quot;ntext&quot;&gt;a)&lt;/td&gt;<br /> &lt;td class=&quot;ntext&quot; width=&quot;25%&quot;&gt;$2^3\cdot3^2$&lt;/td&gt;<br /> &lt;td class=&quot;ntext&quot;&gt;b)&lt;/td&gt;<br /> &lt;td class=&quot;ntext&quot; width=&quot;25%&quot;&gt;$3^5\cdot9^{-2}$&lt;/td&gt;<br /> &lt;td class=&quot;ntext&quot;&gt;c)&lt;/td&gt;<br /> &lt;td class=&quot;ntext&quot; width=&quot;25%&quot;&gt;$(-5)^3$&lt;/td&gt;<br /> &lt;td class=&quot;ntext&quot;&gt;d)&lt;/td&gt;<br /> &lt;td class=&quot;ntext&quot; width=&quot;25%&quot;&gt;$\Bigl(\displaystyle \frac{2}{3}\Bigr)^{-3}$&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;&lt;td height=&quot;5px&quot;/&gt;&lt;/tr&gt;<br /> &lt;/table&gt;<br /> &lt;/div&gt;<br /> <br /> ==&amp;Ouml;vning 1.3:2==<br /> <br /> &lt;div class=&quot;ovning&quot;&gt;<br /> Skriv som en potens av 2<br /> &lt;table width=&quot;100%&quot; cellspacing=&quot;10px&quot;&gt;<br /> &lt;tr align=&quot;left&quot;&gt;<br /> &lt;td class=&quot;ntext&quot;&gt;a)&lt;/td&gt;<br /> &lt;td class=&quot;ntext&quot; width=&quot;33%&quot;&gt;$2\cdot4\cdot8$&lt;/td&gt;<br /> &lt;td class=&quot;ntext&quot;&gt;b)&lt;/td&gt;<br /> &lt;td class=&quot;ntext&quot; width=&quot;33%&quot;&gt;$0{,}25$&lt;/td&gt;<br /> &lt;td class=&quot;ntext&quot;&gt;c)&lt;/td&gt;<br /> &lt;td class=&quot;ntext&quot; width=&quot;33%&quot;&gt;$1$&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;&lt;td height=&quot;5px&quot;/&gt;&lt;/tr&gt;<br /> &lt;/table&gt;<br /> &lt;/div&gt;<br /> <br /> ==&amp;Ouml;vning 1.3:3==<br /> <br /> &lt;div class=&quot;ovning&quot;&gt;<br /> Skriv som en potens av 3<br /> &lt;table width=&quot;100%&quot; cellspacing=&quot;10px&quot;&gt;<br /> &lt;tr align=&quot;left&quot;&gt;<br /> &lt;td class=&quot;ntext&quot;&gt;a)&lt;/td&gt;<br /> &lt;td class=&quot;ntext&quot; width=&quot;20%&quot;&gt;$\displaystyle \frac{1}{3}$&lt;/td&gt;<br /> &lt;td class=&quot;ntext&quot;&gt;b)&lt;/td&gt;<br /> &lt;td class=&quot;ntext&quot; width=&quot;20%&quot;&gt;$243$&lt;/td&gt;<br /> &lt;td class=&quot;ntext&quot;&gt;c)&lt;/td&gt;<br /> &lt;td class=&quot;ntext&quot; width=&quot;20%&quot;&gt;$9^2$&lt;/td&gt;<br /> &lt;td class=&quot;ntext&quot;&gt;d)&lt;/td&gt;<br /> &lt;td class=&quot;ntext&quot; width=&quot;20%&quot;&gt;$\displaystyle \frac{1}{27}$&lt;/td&gt;<br /> &lt;td class=&quot;ntext&quot;&gt;e)&lt;/td&gt;<br /> &lt;td class=&quot;ntext&quot; width=&quot;20%&quot;&gt;$\displaystyle \frac{3}{9^2}$&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;&lt;td height=&quot;5px&quot;/&gt;&lt;/tr&gt;<br /> &lt;/table&gt;<br /> &lt;/div&gt;<br /> <br /> ==&amp;Ouml;vning 1.3:4==<br /> <br /> &lt;div class=&quot;ovning&quot;&gt;<br /> Ber&amp;auml;kna<br /> &lt;table width=&quot;100%&quot; cellspacing=&quot;10px&quot;&gt;<br /> &lt;tr align=&quot;left&quot;&gt;<br /> &lt;td class=&quot;ntext&quot;&gt;a)&lt;/td&gt;<br /> &lt;td class=&quot;ntext&quot; width=&quot;33%&quot;&gt;$2^{9}\cdot2^{-7}$&lt;/td&gt;<br /> &lt;td class=&quot;ntext&quot;&gt;b)&lt;/td&gt;<br /> &lt;td class=&quot;ntext&quot; width=&quot;33%&quot;&gt;$3^{13}\cdot9^{-3}\cdot27^{\,-2}$&lt;/td&gt;<br /> &lt;td class=&quot;ntext&quot;&gt;c)&lt;/td&gt;<br /> &lt;td class=&quot;ntext&quot; width=&quot;33%&quot;&gt;$\displaystyle \frac{5^{12}}{5^{-4}}\cdot(5^{2})^{-6}$&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr align=&quot;left&quot;&gt;<br /> &lt;td class=&quot;ntext&quot;&gt;d)&lt;/td&gt;<br /> &lt;td class=&quot;ntext&quot; width=&quot;33%&quot;&gt;$2^{2^{\scriptstyle3}}\cdot(-2)^{\scriptstyle-4}$&lt;/td&gt;<br /> &lt;td class=&quot;ntext&quot;&gt;e)&lt;/td&gt;<br /> &lt;td class=&quot;ntext&quot; width=&quot;33%&quot;&gt;$625\cdot(5^{8}+5^{9})^{-1}$&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;&lt;td height=&quot;5px&quot;/&gt;&lt;/tr&gt;<br /> &lt;/table&gt;<br /> &lt;/div&gt;<br /> <br /> ==&amp;Ouml;vning 1.3:5==<br /> <br /> &lt;div class=&quot;ovning&quot;&gt;<br /> Ber&amp;auml;kna<br /> &lt;table width=&quot;100%&quot; cellspacing=&quot;10px&quot;&gt;<br /> &lt;tr align=&quot;left&quot;&gt;<br /> &lt;td class=&quot;ntext&quot;&gt;a)&lt;/td&gt;<br /> &lt;td class=&quot;ntext&quot; width=&quot;33%&quot;&gt;$4^{1/2}$&lt;/td&gt;<br /> &lt;td class=&quot;ntext&quot;&gt;b)&lt;/td&gt;<br /> &lt;td class=&quot;ntext&quot; width=&quot;33%&quot;&gt;$4^{-1/2}$&lt;/td&gt;<br /> &lt;td class=&quot;ntext&quot;&gt;c)&lt;/td&gt;<br /> &lt;td class=&quot;ntext&quot; width=&quot;33%&quot;&gt;$9^{3/2}$&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr align=&quot;left&quot;&gt;<br /> &lt;td class=&quot;ntext&quot;&gt;d)&lt;/td&gt;<br /> &lt;td class=&quot;ntext&quot; width=&quot;33%&quot;&gt;$\left(47^{2/3} \right) ^{3}$&lt;/td&gt;<br /> &lt;td class=&quot;ntext&quot;&gt;e)&lt;/td&gt;<br /> &lt;td class=&quot;ntext&quot; width=&quot;33%&quot;&gt;$3^{1{,}4}\cdot3^{0{,}6}$&lt;/td&gt;<br /> &lt;td class=&quot;ntext&quot;&gt;f)&lt;/td&gt;<br /> &lt;td class=&quot;ntext&quot; width=&quot;33%&quot;&gt;$\bigl( 125 ^{1/3} \bigr)^2\cdot \bigl( 27^{1/3} \bigr)^{-2}\cdot9^{1/2}$&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;&lt;td height=&quot;5px&quot;/&gt;&lt;/tr&gt;<br /> &lt;/table&gt;<br /> &lt;/div&gt;<br /> <br /> ==&amp;Ouml;vning 1.3:6==<br /> &lt;div class=&quot;ovning&quot;&gt;<br /> Avg&amp;ouml;r vilket tal som &amp;auml;r st&amp;ouml;rst av <br /> &lt;table width=&quot;100%&quot; cellspacing=&quot;10px&quot;&gt;<br /> &lt;tr align=&quot;left&quot;&gt;<br /> &lt;td class=&quot;ntext&quot;&gt;a)&lt;/td&gt;<br /> &lt;td class=&quot;ntext&quot; width=&quot;33%&quot;&gt;$256^{1/3}\ $ och $\ 200^{1/3}$&lt;/td&gt;<br /> &lt;td class=&quot;ntext&quot;&gt;b)&lt;/td&gt;<br /> &lt;td class=&quot;ntext&quot; width=&quot;33%&quot;&gt;$0{,}5^{-3}\ $ och $\ 0{,}4^{-3}$&lt;/td&gt;<br /> &lt;td class=&quot;ntext&quot;&gt;c)&lt;/td&gt;<br /> &lt;td class=&quot;ntext&quot; width=&quot;33%&quot;&gt;$0{,}2^5\ $ och $\ 0{,}2^{7}$&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr align=&quot;left&quot;&gt;<br /> &lt;td class=&quot;ntext&quot;&gt;d)&lt;/td&gt;<br /> &lt;td class=&quot;ntext&quot; width=&quot;33%&quot;&gt;$400^{1/3}\ $ och $\ \bigl(5^{1/3}\bigr)^{4}$&lt;/td&gt;<br /> &lt;td class=&quot;ntext&quot;&gt;e)&lt;/td&gt;<br /> &lt;td class=&quot;ntext&quot; width=&quot;33%&quot;&gt;$125^{1/2}\ $ och $\ 625^{1/3}$&lt;/td&gt;<br /> &lt;td class=&quot;ntext&quot;&gt;f)&lt;/td&gt;<br /> &lt;td class=&quot;ntext&quot; width=&quot;33%&quot;&gt;$2^{56}\ $ och $\ 3^{40}$&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;&lt;td height=&quot;5px&quot;/&gt;&lt;/tr&gt;<br /> &lt;/table&gt;<br /> &lt;/div&gt;</div> KTH.SE:u1zpa8nw