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-==Övning 1.1:1== 
-<div class="ovning"> 
-Beräkna (utan hjälp av räknedosa) 
-<table width="100%" cellspacing="10px"> 
-<tr align="left"> 
-<td class="ntext">a)</td> 
-<td class="ntext" width="50%">$3-7-4+6-5$</td> 
-<td class="ntext">b)</td> 
-<td class="ntext" width="50%">$3-(7-4)+(6-5)$</td> 
-</tr> 
-<tr align="left"> 
-<td class="ntext">c)</td> 
-<td class="ntext" width="50%">$3-(7-(4+6)-5)$</td> 
-<td class="ntext">d)</td> 
-<td class="ntext" width="50%">$3-(7-(4+6))-5$</td> 
-</tr> 
-<tr><td height="5px"/></tr> 
-</table> 
-</div> 
- 
-<div class="svar"> 
- 
-<table width="100%" cellspacing="10px"> 
-<tr align="left"> 
-<td class="ntext">a)</td> 
-<td class="ntext" width="50%">$-7$</td> 
-<td class="ntext">b)</td> 
-<td class="ntext" width="50%">$1$</td> 
-</tr> 
-<tr align="left"> 
-<td class="ntext">c)</td> 
-<td class="ntext" width="50%">$11$</td> 
-<td class="ntext">d)</td> 
-<td class="ntext" width="50%">$1$</td> 
-</tr> 
-<tr><td height="5px"/></tr> 
-</table> 
- 
-</div> 
- 
-==Övning 1.1:2== 
-<div class="ovning"> 
-Beräkna (utan hjälp av räknedosa) 
-<table width="100%" cellspacing="10px"> 
-<tr align="left"> 
-<td class="ntext">a)</td> 
-<td class="ntext" width="50%">$(3-(7-4))(6-5)$</td> 
-<td class="ntext">b)</td> 
-<td class="ntext" width="50%">$3-(((7-4)+6)-5)$</td> 
-</tr> 
-<tr align="left"> 
-<td class="ntext">c)</td> 
-<td class="ntext" width="50%">$3\cdot(-7)-4\cdot(6-5)$</td> 
-<td class="ntext">d)</td> 
-<td class="ntext" width="50%">$3\cdot(-7)-(4+6)/(-5)$</td> 
-</tr> 
-<tr><td height="5px"/></tr> 
-</table> 
-</div> 
- 
-<div class="svar"> 
-<table width="100%" cellspacing="10px"> 
-<tr align="left"> 
-<td class="ntext">a)</td> 
-<td class="ntext" width="50%">$0$</td> 
-<td class="ntext">b)</td> 
-<td class="ntext" width="50%">$-1$</td> 
-</tr> 
-<tr align="left"> 
-<td class="ntext">c)</td> 
-<td class="ntext" width="50%">$-25$</td> 
-<td class="ntext">d)</td> 
-<td class="ntext" width="50%">$-19$</td> 
-</tr> 
-<tr><td height="5px"/></tr> 
-</table> 
-</div> 
- 
-==Övning 1.1:3== 
-<div class="ovning"> 
-Vilka av följande tal tillhör de naturliga talen? heltalen? 
-rationella talen? irrationella talen? Förenkla först! 
-<table width="100%" cellspacing="10px"> 
-<tr align="left"> 
-<td class="ntext">a)</td> 
-<td class="ntext" width="33%">$8$</td> 
-<td class="ntext">b)</td> 
-<td class="ntext" width="33%">$-4$</td> 
-<td class="ntext">c)</td> 
-<td class="ntext" width="33%">$8-4$</td> 
-</tr> 
-<tr align="left"> 
-<td class="ntext">d)</td> 
-<td class="ntext" width="33%">$4-8$</td> 
-<td class="ntext">e)</td> 
-<td class="ntext" width="33%">$8(-4)$</td> 
-<td class="ntext">f)</td> 
-<td class="ntext" width="33%">$(-8)(-4)$</td> 
-</tr> 
-<tr align="left"> 
-<td class="ntext">g)</td> 
-<td class="ntext" width="33%">$\displaystyle \frac{4}{-8}$</td> 
-<td class="ntext">h)</td> 
-<td class="ntext" width="33%">$\displaystyle \frac{-8}{-4}$</td> 
-<td class="ntext">i)</td> 
-<td class="ntext" width="33%">$\displaystyle \frac{\sqrt{2}}{3}$</td> 
-</tr> 
-<tr align="left"> 
-<td class="ntext">j)</td> 
-<td class="ntext" width="33%">$\displaystyle \Bigl(\frac{4}{\sqrt{2}}\Bigr)^2$</td> 
-<td class="ntext">k)</td> 
-<td class="ntext" width="33%">$-\pi$</td> 
-<td class="ntext">l)</td> 
-<td class="ntext" width="33%">$\pi+1$</td> 
-</tr> 
-<tr><td height="5px"/></tr> 
-</table> 
-</div> 
- 
-<div class="svar"> 
-<table width="100%" cellspacing="10px"> 
-<tr><td height="5px"/></tr> 
-<tr align="left" valign="top"> 
-<td class="ntext">a)</td> 
-<td class="ntext" width="33%">naturliga talen, heltalen, rationella talen</td> 
-<td class="ntext">b)</td> 
-<td class="ntext" width="33%">heltalen, rationella talen</td> 
-<td class="ntext">c)</td> 
-<td class="ntext" width="33%">naturliga talen, heltalen, rationella talen</td> 
-</tr> 
-<tr align="left" valign="top"> 
-<td class="ntext">d)</td> 
-<td class="ntext" width="33%">heltalen, rationella talen</td> 
-<td class="ntext">e)</td> 
-<td class="ntext" width="33%">heltalen, rationella talen</td> 
-<td class="ntext">f)</td> 
-<td class="ntext" width="33%">naturliga talen, heltalen, rationella talen</td> 
-</tr> 
-<tr align="left" valign="top"> 
-<td class="ntext">g)</td> 
-<td class="ntext" width="33%">rationella talen</td> 
-<td class="ntext">h)</td> 
-<td class="ntext" width="33%">naturliga talen, heltalen, rationella talen</td> 
-<td class="ntext">i)</td> 
-<td class="ntext" width="33%">irrationella talen</td> 
-</tr> 
-<tr align="left" valign="top"> 
-<td class="ntext">j)</td> 
-<td class="ntext" width="33%">naturliga talen, heltalen, rationella talen</td> 
-<td class="ntext">k)</td> 
-<td class="ntext" width="33%">irrationella talen</td> 
-<td class="ntext">l)</td> 
-<td class="ntext" width="33%">irrationella talen</td> 
-</tr> 
-<tr><td height="5px"/></tr> 
-</table> 
-</div> 
- 
-==Övning 1.1:4== 
-<div class="ovning"> 
-Ordna följande tal i storleksordning 
-<table width="100%" cellspacing="10px"> 
-<tr align="left"> 
-<td class="ntext">a)</td> 
-<td class="ntext" width="100%">$\displaystyle 2,\ \frac{3}{5},\ \frac{5}{3}\ $ och $\ \displaystyle \frac{7}{3}$</td> 
-</tr> 
-<tr> 
-<td class="ntext">b)</td> 
-<td class="ntext" width="100%">$\displaystyle -\frac{1}{2},\ -\frac{1}{5},\ -\frac{3}{10}\ $ och $\ \displaystyle -\frac{1}{3}$</td> 
-</tr> 
-<tr> 
-<td class="ntext">c)</td> 
-<td class="ntext" width="100%">$\displaystyle \frac{1}{2},\ \frac{2}{3},\ \frac{3}{5},\ \frac{5}{8}\ $ och $\ \displaystyle \frac{21}{34}$</td> 
-</tr> 
-<tr><td height="5px"/></tr> 
-</table> 
-</div> 
- 
-<div class="svar"> 
-<table width="100%" cellspacing="10px"> 
-<tr align="left"> 
-<td class="ntext">a)</td> 
-<td class="ntext" width="100%">$\displaystyle \frac{3}{5}<\frac{5}{3}<2<\frac{7}{3}$</td> 
-</tr> 
-<tr> 
-<td class="ntext">b)</td> 
-<td class="ntext" width="100%">$\displaystyle -\frac{1}{2}<-\frac{1}{3}<-\frac{3}{10}<-\frac{1}{5}$</td> 
-</tr> 
-<tr> 
-<td class="ntext">c)</td> 
-<td class="ntext" width="100%">$\displaystyle \frac{1}{2}<\frac{3}{5}<\frac{21}{34}<\frac{5}{8}<\frac{2}{3}$</td> 
-</tr> 
-<tr><td height="5px"/></tr> 
-</table> 
-</div> 
- 
-==Övning 1.1:5== 
-<div class="ovning"> 
-Ange decimalutvecklingen med tre korrekta decimaler till 
-<table width="100%" cellspacing="10px"> 
-<tr align="left"> 
-<td class="ntext">a)</td> 
-<td class="ntext" width="25%">$\displaystyle \frac{7}{6}$</td> 
-<td class="ntext">b)</td> 
-<td class="ntext" width="25%">$\displaystyle \frac{9}{4}$</td> 
-<td class="ntext">c)</td> 
-<td class="ntext" width="25%">$\displaystyle \frac{2}{7}$</td> 
-<td class="ntext">d)</td> 
-<td class="ntext" width="25%">$\sqrt{2}$</td> 
-</tr> 
-<tr><td height="5px"/></tr> 
-</table> 
-</div> 
- 
-<div class="svar"> 
-<table width="100%" cellspacing="10px"> 
-<tr align="left"> 
-<td class="ntext">a)</td> 
-<td class="ntext" width="25%">$1{,}167$</td> 
-<td class="ntext">b)</td> 
-<td class="ntext" width="25%">$2{,}250$</td> 
-<td class="ntext">c)</td> 
-<td class="ntext" width="25%">$0{,}286$</td> 
-<td class="ntext">d)</td> 
-<td class="ntext" width="25%">$1{,}414$</td> 
-</tr> 
-<tr><td height="5px"/></tr> 
-</table> 
-</div> 
- 
-==Övning 1.1:6== 
-<div class="ovning"> 
-Vilka av följande tal är rationella? Ange dem som en kvot mellan heltal. 
-<table width="100%" cellspacing="10px"> 
-<tr align="left"> 
-<td class="ntext">a)</td> 
-<td class="ntext" width="100%">$3,14$</td> 
-</tr> 
-<tr align="left"> 
-<td class="ntext">b)</td> 
-<td class="ntext" width="100%">$3{,}1416\,1416\,1416\,\dots$</td> 
-</tr> 
-<tr align="left"> 
-<td class="ntext">c)</td> 
-<td class="ntext" width="100%">$0{,}2\,001\,001\,001\,\dots\,$ (därefter är var tredje decimal en 1:a och övriga 0)</td> 
-</tr> 
-<tr align="left"> 
-<td class="ntext">d)</td> 
-<td class="ntext" width="100%">$0{,}10\,100\,1000\,10000\,1\dots\, $ (en 1:a, en 0:a, en 1:a, två 0:or, en 1:a, tre 0:or osv.)</td> 
-</tr> 
-<tr><td height="5px"/></tr> 
-</table> 
-</div> 
- 
-<div class="svar"> 
-<table width="100%" cellspacing="10px"> 
-<tr align="left"> 
-<td class="ntext">a)</td> 
-<td class="ntext" width="100%">Talet är rationellt och lika med $\,314/100 = 157/50\,$.</td> 
-</tr> 
-<tr align="left"> 
-<td class="ntext">b)</td> 
-<td class="ntext" width="100%">Talet är rationellt och är lika med $\,31413/9999 = 10471/3333\,$.</td> 
-</tr> 
-<tr align="left"> 
-<td class="ntext">c)</td> 
-<td class="ntext" width="100%">Talet är rationellt och lika med $\,1999/9990\,$.</td> 
-</tr> 
-<tr align="left"> 
-<td class="ntext">d)</td> 
-<td class="ntext" width="100%">Talet är irrationellt.</td> 
-</tr> 
-<tr><td height="5px"/></tr> 
-</table> 
-</div> 
- 
- 
-==Övning 1.2:1== 
-<div class="ovning"> 
-Skriv p&aring; gemensamt br&aring;kstreck  
-<table width="100%" cellspacing="10px"> 
-<tr align="left"> 
-<td class="ntext">a)</td> 
-<td class="ntext" width="33%">$\displaystyle \frac{7}{4}+\frac{11}{7}$</td> 
-<td class="ntext">b)</td> 
-<td class="ntext" width="33%">$\displaystyle \frac{2}{7}-\frac{1}{5}$</td> 
-<td class="ntext">c)</td> 
-<td class="ntext" width="33%">$\displaystyle \frac{1}{6}-\frac{2}{5}$</td> 
-</tr> 
-<tr align="left"> 
-<td class="ntext">d)</td> 
-<td class="ntext" width="33%">$\displaystyle \frac{1}{3}+\frac{1}{4}+\frac{1}{5}$</td> 
-<td class="ntext">e)</td> 
-<td class="ntext" width="33%">$\displaystyle \frac{8}{7}+\frac{3}{4}-\frac{4}{3}$</td> 
-</tr> 
-<tr><td height="5px"/></tr> 
-</table> 
-</div> 
- 
-<div class="svar"> 
-<table width="100%" cellspacing="10px"> 
-<tr align="left"> 
-<td class="ntext">a)</td> 
-<td class="ntext" width="33%">$\displaystyle \frac{93}{28}$</td> 
-<td class="ntext">b)</td> 
-<td class="ntext" width="33%">$\displaystyle \frac{3}{35}$</td> 
-<td class="ntext">c)</td> 
-<td class="ntext" width="33%">$\displaystyle -\frac{7}{30}$</td> 
-</tr> 
-<tr align="left"> 
-<td class="ntext">d)</td> 
-<td class="ntext" width="33%">$\displaystyle \frac{47}{60}$</td> 
-<td class="ntext">e)</td> 
-<td class="ntext" width="33%">$\displaystyle \frac{47}{84}$</td> 
-</tr> 
-<tr><td height="5px"/></tr> 
-</table> 
-</div> 
- 
-==Övning 1.2:2== 
-<div class="ovning"> 
-Bestäm minsta gemensamma nämnare 
-<table width="100%" cellspacing="10px"> 
-<tr align="left"> 
-<td class="ntext">a)</td> 
-<td class="ntext" width="50%">$\displaystyle \frac{1}{6}+\frac{1}{10}$</td> 
-<td class="ntext">b)</td> 
-<td class="ntext" width="50%">$\displaystyle \frac{1}{4}-\frac{1}{8}$</td> 
-</tr> 
-<tr align="left"> 
-<td class="ntext">c)</td> 
-<td class="ntext" width="50%">$\displaystyle \frac{1}{12}-\frac{1}{14}$</td> 
-<td class="ntext">d)</td> 
-<td class="ntext" width="50%">$\displaystyle \frac{2}{45}+\frac{1}{75}$</td> 
-</tr> 
-<tr><td height="5px"/></tr> 
-</table> 
-</div> 
- 
-<div class="svar"> 
-<table width="100%" cellspacing="10px"> 
-<tr align="left"> 
-<td class="ntext">a)</td> 
-<td class="ntext" width="50%">$\displaystyle {30}$</td> 
-<td class="ntext">b)</td> 
-<td class="ntext" width="50%">$\displaystyle {8}$</td> 
-</tr> 
-<tr align="left"> 
-<td class="ntext">c)</td> 
-<td class="ntext" width="50%">$\displaystyle {84}$</td> 
-<td class="ntext">d)</td> 
-<td class="ntext" width="50%">$\displaystyle {225}$</td> 
-</tr> 
-<tr><td height="5px"/></tr> 
-</table> 
-</div> 
- 
-==Övning 1.2:3== 
-<div class="ovning"> 
-Beräkna följande uttryck genom att använda minsta gemensamma nämnare: 
-<table width="100%" cellspacing="10px"> 
-<tr align="left"> 
-<td class="ntext">a)</td> 
-<td class="ntext" width="50%">$\displaystyle \frac{3}{20}+\frac{7}{50}-\frac{1}{10}$</td> 
-<td class="ntext">b)</td> 
-<td class="ntext" width="50%">$\displaystyle \frac{1}{24}+\frac{1}{40}-\frac{1}{16}$</td> 
-</tr> 
-<tr><td height="5px"/></tr> 
-</table> 
-</div> 
- 
-<div class="svar"> 
-<table width="100%" cellspacing="10px"> 
-<tr><td height="5px"/></tr> 
-<tr align="left"> 
-<td class="ntext">a)</td> 
-<td class="ntext" width="50%">$\displaystyle \frac{19}{100}$</td> 
-<td class="ntext">b)</td> 
-<td class="ntext" width="50%">$\displaystyle \frac{1}{240}$</td> 
-</tr> 
-<tr><td height="5px"/></tr> 
-</table> 
-</div> 
- 
-==Övning 1.2:4== 
-<div class="ovning"> 
-F&ouml;renkla f&ouml;ljande uttryck genom att skriva p&aring; gemensamt br&aring;kstreck. Br&aring;ket ska vara f&auml;rdigf&ouml;rkortat. 
-<table width="100%" cellspacing="10px"> 
-<tr align="left"> 
-<td class="ntext">a)</td> 
-<td class="ntext" width="33%">$\displaystyle\frac{\displaystyle\frac{3}{5}}{\displaystyle\frac{7}{10}}$</td> 
-<td class="ntext">b)</td> 
-<td class="ntext" width="33%">$\displaystyle\frac{\displaystyle\frac{2}{7}}{\displaystyle\frac{3}{8}}$</td> 
-<td class="ntext">c)</td> 
-<td class="ntext" width="33%">$\displaystyle\frac{\displaystyle\frac{1}{4}-\frac{1}{5}}{\displaystyle\frac{3}{10}}$</td> 
-</tr><tr><td height="5px"/></tr> 
-</table> 
-</div> 
- 
-<div class="svar"> 
-<table width="100%" cellspacing="10px"> 
-<tr align="left"> 
-<td class="ntext">a)</td> 
-<td class="ntext" width="33%">$\displaystyle \frac{6}{7}$</td> 
-<td class="ntext">b)</td> 
-<td class="ntext" width="33%">$\displaystyle \frac{16}{21}$</td> 
-<td class="ntext">c)</td> 
-<td class="ntext" width="33%">$\displaystyle \frac{1}{6}$</td> 
-</tr> 
-<tr><td height="5px"/></tr> 
-</table> 
-</div> 
- 
-==&Ouml;vning 1.2:5== 
-<div class="ovning"> 
-F&ouml;renkla f&ouml;ljande uttryck genom att skriva p&aring; gemensamt br&aring;kstreck. Br&aring;ket ska vara f&auml;rdigf&ouml;rkortat. 
-<table width="100%" cellspacing="10px"> 
-<tr align="left"> 
-<td class="ntext">a)</td> 
-<td class="ntext" width="33%">$\displaystyle \frac{2}{\displaystyle \frac{1}{7}\displaystyle -\frac{1}{15}}$</td> 
-<td class="ntext">b)</td> 
-<td class="ntext" width="33%">$\displaystyle\frac{\displaystyle\frac{1}{2}\displaystyle+\frac{1}{3}}{\displaystyle\frac{1}{3}\displaystyle-\frac{1}{2}}$</td> 
-<td class="ntext">c)</td> 
-<td class="ntext" width="33%">$\displaystyle\frac{\displaystyle\frac{3}{10}\displaystyle-\frac{1}{5}}{\displaystyle\frac{7}{8}\displaystyle-\frac{3}{16}}$</td> 
-</tr> 
-<tr><td height="5px"/></tr> 
-</table> 
-</div> 
- 
-<div class="svar"> 
-<table width="100%" cellspacing="10px"> 
-<tr><td height="5px"/></tr> 
-<tr align="left"> 
-<td class="ntext">a)</td> 
-<td class="ntext" width="33%">$\displaystyle \frac{105}{4}$</td> 
-<td class="ntext">b)</td> 
-<td class="ntext" width="33%">$-5$</td> 
-<td class="ntext">c)</td> 
-<td class="ntext" width="33%">$\displaystyle \frac{8}{55}$</td> 
-</tr> 
-<tr><td height="5px"/></tr> 
-</table> 
-</div> 
- 
-==Övning 1.2:6== 
- 
-<div class="ovning"> 
-F&ouml;renkla $\ \,\displaystyle \frac{\displaystyle \frac{2}{\displaystyle 3+\frac{1}{2}}\displaystyle + \frac{\displaystyle \frac{1}{2}}{\displaystyle \frac{1}{4}\displaystyle -\frac{1}{3}}}{\displaystyle \frac{1}{2}\displaystyle - \frac{3}{\displaystyle 2-\frac{2}{7}}}$ 
-</div> 
- 
-<div class="svar"> 
-<table align="center" width="100%"><tr><td class="ntext" align="center">$\displaystyle \frac{152}{35}$</td></tr></table>  
-</div> 
- 
- 
-==&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%">$2^3\cdot3^2$</td> 
-<td class="ntext">b)</td> 
-<td class="ntext" width="25%">$3^5\cdot9^{-2}$</td> 
-<td class="ntext">c)</td> 
-<td class="ntext" width="25%">$(-5)^3$</td> 
-<td class="ntext">d)</td> 
-<td class="ntext" width="25%">$\Bigl(\displaystyle \frac{2}{3}\Bigr)^{-3}$</td> 
-</tr> 
-<tr><td height="5px"/></tr> 
-</table> 
-</div> 
- 
-<div class="svar"> 
-<table width="100%" cellspacing="10px"> 
-<tr align="left"> 
-<td class="ntext">a)</td> 
-<td class="ntext" width="25%">$72$</td> 
-<td class="ntext">b)</td> 
-<td class="ntext" width="25%">$3$</td> 
-<td class="ntext">c)</td> 
-<td class="ntext" width="25%">$-125$</td> 
-<td class="ntext">d)</td> 
-<td class="ntext" width="25%">$\displaystyle \frac{27}{8}$</td> 
-</tr> 
-<tr><td height="5px"/></tr> 
-</table> 
-</div> 
- 
-==&Ouml;vning 1.3:2== 
- 
-<div class="ovning"> 
-Skriv som en potens av 2 
-<table width="100%" cellspacing="10px"> 
-<tr align="left"> 
-<td class="ntext">a)</td> 
-<td class="ntext" width="33%">$2\cdot4\cdot8$</td> 
-<td class="ntext">b)</td> 
-<td class="ntext" width="33%">$0{,}25$</td> 
-<td class="ntext">c)</td> 
-<td class="ntext" width="33%">$1$</td> 
-</tr> 
-<tr><td height="5px"/></tr> 
-</table> 
-</div> 
- 
-<div class="svar"> 
-<table width="100%" cellspacing="10px"> 
-<tr align="left"> 
-<td class="ntext">a)</td> 
-<td class="ntext" width="33%">$2^6$</td> 
-<td class="ntext">b)</td> 
-<td class="ntext" width="33%">$2^{-2}$</td> 
-<td class="ntext">c)</td> 
-<td class="ntext" width="33%">$2^0$</td> 
-</tr> 
-<tr><td height="5px"/></tr> 
-</table> 
-</div> 
- 
-==&Ouml;vning 1.3:3== 
- 
-<div class="ovning"> 
-Skriv som en potens av 3 
-<table width="100%" cellspacing="10px"> 
-<tr align="left"> 
-<td class="ntext">a)</td> 
-<td class="ntext" width="20%">$\displaystyle \frac{1}{3}$</td> 
-<td class="ntext">b)</td> 
-<td class="ntext" width="20%">$243$</td> 
-<td class="ntext">c)</td> 
-<td class="ntext" width="20%">$9^2$</td> 
-<td class="ntext">d)</td> 
-<td class="ntext" width="20%">$\displaystyle \frac{1}{27}$</td> 
-<td class="ntext">e)</td> 
-<td class="ntext" width="20%">$\displaystyle \frac{3}{9^2}$</td> 
-</tr> 
-<tr><td height="5px"/></tr> 
-</table> 
-</div> 
- 
-<div class="svar"> 
-<table width="100%" cellspacing="10px"> 
-<tr align="left"> 
-<td class="ntext">a)</td> 
-<td class="ntext" width="20%">$3^{-1}$</td> 
-<td class="ntext">b)</td> 
-<td class="ntext" width="20%">$3^5$</td> 
-<td class="ntext">c)</td> 
-<td class="ntext" width="20%">$3^4$</td> 
-<td class="ntext">d)</td> 
-<td class="ntext" width="20%">$3^{-3}$</td> 
-<td class="ntext">e)</td> 
-<td class="ntext" width="20%">$3^{-3}$</td> 
-</tr> 
-<tr><td height="5px"/></tr> 
-</table> 
-</div> 
- 
-==&Ouml;vning 1.3:4== 
- 
-<div class="ovning"> 
-Ber&auml;kna 
-<table width="100%" cellspacing="10px"> 
-<tr align="left"> 
-<td class="ntext">a)</td> 
-<td class="ntext" width="33%">$2^{9}\cdot2^{-7}$</td> 
-<td class="ntext">b)</td> 
-<td class="ntext" width="33%">$3^{13}\cdot9^{-3}\cdot27^{\,-2}$</td> 
-<td class="ntext">c)</td> 
-<td class="ntext" width="33%">$\displaystyle \frac{5^{12}}{5^{-4}}\cdot(5^{2})^{-6}$</td> 
-</tr> 
-<tr align="left"> 
-<td class="ntext">d)</td> 
-<td class="ntext" width="33%">$2^{2^{\scriptstyle3}}\cdot(-2)^{\scriptstyle-4}$</td> 
-<td class="ntext">e)</td> 
-<td class="ntext" width="33%">$625\cdot(5^{8}+5^{9})^{-1}$</td> 
-</tr> 
-<tr><td height="5px"/></tr> 
-</table> 
-</div> 
- 
-<div class="svar"> 
-<table width="100%" cellspacing="10px"> 
-<tr align="left"> 
-<td class="ntext">a)</td> 
-<td class="ntext" width="33%">$4$</td> 
-<td class="ntext">b)</td> 
-<td class="ntext" width="33%">$3$</td> 
-<td class="ntext">c)</td> 
-<td class="ntext" width="33%">$625$</td> 
-</tr> 
-<tr align="left"> 
-<td class="ntext">d)</td> 
-<td class="ntext" width="33%">$16$</td> 
-<td class="ntext">e)</td> 
-<td class="ntext" width="33%">$\displaystyle \frac{1}{3750}$</td> 
-</tr> 
-<tr><td height="5px"/></tr> 
-</table> 
-</div> 
- 
-==&Ouml;vning 1.3:5== 
- 
-<div class="ovning"> 
-Ber&auml;kna 
-<table width="100%" cellspacing="10px"> 
-<tr align="left"> 
-<td class="ntext">a)</td> 
-<td class="ntext" width="33%">$4^{1/2}$</td> 
-<td class="ntext">b)</td> 
-<td class="ntext" width="33%">$4^{-1/2}$</td> 
-<td class="ntext">c)</td> 
-<td class="ntext" width="33%">$9^{3/2}$</td> 
-</tr> 
-<tr align="left"> 
-<td class="ntext">d)</td> 
-<td class="ntext" width="33%">$\left(47^{2/3} \right) ^{3}$</td> 
-<td class="ntext">e)</td> 
-<td class="ntext" width="33%">$3^{1{,}4}\cdot3^{0{,}6}$</td> 
-<td class="ntext">f)</td> 
-<td class="ntext" width="33%">$\bigl( 125 ^{1/3} \bigr)^2\cdot \bigl( 27^{1/3} \bigr)^{-2}\cdot9^{1/2}$</td> 
-</tr> 
-<tr><td height="5px"/></tr> 
-</table> 
-</div> 
- 
-<div class="svar"> 
-<table width="100%" cellspacing="10px"> 
-<tr align="left"> 
-<td class="ntext">a)</td> 
-<td class="ntext" width="33%">$2$</td> 
-<td class="ntext">b)</td> 
-<td class="ntext" width="33%">$\displaystyle \frac{1}{2}$</td> 
-<td class="ntext">c)</td> 
-<td class="ntext" width="33%">$27$</td> 
-</tr> 
-<tr align="left"> 
-<td class="ntext">d)</td> 
-<td class="ntext" width="33%">$2209$</td> 
-<td class="ntext">e)</td> 
-<td class="ntext" width="33%">$9$</td> 
-<td class="ntext">f)</td> 
-<td class="ntext" width="33%">$\displaystyle \frac{25}{3}$</td> 
-</tr> 
-<tr><td height="5px"/></tr> 
-</table> 
-</div> 
- 
- 
-==&Ouml;vning 1.3:6== 
-<div class="ovning"> 
-Avg&ouml;r vilket tal som &auml;r st&ouml;rst av  
-<table width="100%" cellspacing="10px"> 
-<tr align="left"> 
-<td class="ntext">a)</td> 
-<td class="ntext" width="33%">$256^{1/3}\ $ och $\ 200^{1/3}$</td> 
-<td class="ntext">b)</td> 
-<td class="ntext" width="33%">$0{,}5^{-3}\ $ och $\ 0{,}4^{-3}$</td> 
-<td class="ntext">c)</td> 
-<td class="ntext" width="33%">$0{,}2^5\ $ och $\ 0{,}2^{7}$</td> 
-</tr> 
-<tr align="left"> 
-<td class="ntext">d)</td> 
-<td class="ntext" width="33%">$400^{1/3}\ $ och $\ \bigl(5^{1/3}\bigr)^{4}$</td> 
-<td class="ntext">e)</td> 
-<td class="ntext" width="33%">$125^{1/2}\ $ och $\ 625^{1/3}$</td> 
-<td class="ntext">f)</td> 
-<td class="ntext" width="33%">$2^{56}\ $ och $\ 3^{40}$</td> 
-</tr> 
-<tr><td height="5px"/></tr> 
-</table> 
-</div> 
- 
-<div class="svar"> 
-<table width="100%" cellspacing="10px"> 
-<tr align="left"> 
-<td class="ntext">a)</td> 
-<td class="ntext" width="33%">$256^{1/3}>200^{1/3}$</td> 
-<td class="ntext">b)</td> 
-<td class="ntext" width="33%">$0{,}4^{-3}>0{,}5^{-3}$</td> 
-<td class="ntext">c)</td> 
-<td class="ntext" width="33%">$0{,}2^{5}>0{,}2^{7}$</td> 
-</tr> 
-<tr align="left"> 
-<td class="ntext">d)</td> 
-<td class="ntext" width="33%">$\bigl(5^{1/3}\bigr)^{4}>400^{1/3}$</td> 
-<td class="ntext">e)</td> 
-<td class="ntext" width="33%">$125^{1/2}>625^{1/3}$</td> 
-<td class="ntext">f)</td> 
-<td class="ntext" width="33%">$3^{40}>2^{56}$</td> 
-</tr> 
-<tr><td height="5px"/></tr> 
-</table> 
-</div> 

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