Övn 1.3
Sommarmatte 1
(Skillnad mellan versioner)
| Versionen från 16 juli 2007 kl. 07.48 (redigera) KTH.SE:u1zpa8nw (Diskussion | bidrag) (Ny sida: __NOTOC__ ==Övning 1.3:1== <div class="ovning"> Beräkna <table width="100%" cellspacing="10px"> <tr align="left"> <td class="ntext">a)</td> <td class="ntext" width="25%">$2^3\cd...) ← Gå till föregående ändring |
Nuvarande version (16 juli 2007 kl. 08.01) (redigera) (ogör) KTH.SE:u1zpa8nw (Diskussion | bidrag) (Tar bort sidans innehåll) |
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| Rad 1: | Rad 1: | ||
| - | __NOTOC__ | ||
| - | ==Övning 1.3:1== | ||
| - | <div class="ovning"> | ||
| - | Beräkna | ||
| - | <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> | ||
| - | |||
| - | ==Övning 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> | ||
| - | |||
| - | ==Övning 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> | ||
| - | |||
| - | ==Övning 1.3:4== | ||
| - | |||
| - | <div class="ovning"> | ||
| - | Beräkna | ||
| - | <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> | ||
| - | |||
| - | ==Övning 1.3:5== | ||
| - | |||
| - | <div class="ovning"> | ||
| - | Beräkna | ||
| - | <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> | ||
| - | |||
| - | ==Övning 1.3:6== | ||
| - | <div class="ovning"> | ||
| - | Avgör vilket tal som är störst 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> | ||
