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Exponent Laws

Practice

Evaluate. Give your answers as fractions.

$243^{-\frac{1}{5}}$

$9^{\frac{1}{2}}$

$100^{-\frac{1}{2}}$

$36^{-\frac{1}{2}}$

$25^{\frac{1}{2}}$

$256^{-\frac{1}{4}}$

$64^{-\frac{1}{2}}$

$625^{\frac{1}{4}}$

$125^{-\frac{1}{3}}$

$216^{-\frac{1}{3}}$

$49^{\frac{1}{2}}$

$343^{\frac{1}{3}}$

$81^{-\frac{1}{4}}$

$729^{-\frac{1}{3}}$

$625^{-\frac{1}{4}}$

$16^{-\frac{1}{2}}$

$512^{\frac{1}{3}}$

$216^{\frac{1}{3}}$

$243^{\frac{1}{5}}$

$256^{\frac{1}{4}}$

$16^{\frac{1}{2}}$

$81^{-\frac{1}{2}}$

$25^{-\frac{1}{2}}$

$64^{-\frac{1}{6}}$

Evaluate. Give your answers as fractions.

$\left(\frac{81}{16}\right)^{-\frac{1}{2}}=$
$\left(\frac{81}{25}\right)^{-\frac{1}{2}}=$
$\left(\frac{1}{25}\right)^{-\frac{1}{2}}=$

$\left(\frac{1000}{729}\right)^{\frac{1}{3}}=$
$\left(\frac{512}{343}\right)^{-\frac{1}{3}}=$
$\left(\frac{125}{216}\right)^{\frac{1}{3}}=$

$\left(\frac{343}{216}\right)^{-\frac{2}{3}}=$
$\left(\frac{49}{16}\right)^{\frac{1}{2}}=$
$\left(\frac{1}{512}\right)^{-\frac{2}{3}}=$

$\left(\frac{343}{64}\right)^{\frac{1}{3}}=$
$\left(\frac{1}{4}\right)^{-\frac{1}{2}}=$
$\left(\frac{343}{729}\right)^{-\frac{1}{3}}=$

$\left(\frac{1}{729}\right)^{-\frac{1}{3}}=$
$\left(\frac{729}{343}\right)^{-\frac{2}{3}}=$
$\left(\frac{8}{27}\right)^{-\frac{2}{3}}=$

$\left(\frac{125}{216}\right)^{-\frac{1}{3}}=$
$\left(\frac{125}{729}\right)^{-\frac{2}{3}}=$
$\left(\frac{64}{343}\right)^{\frac{2}{3}}=$

$\left(\frac{64}{9}\right)^{-\frac{1}{2}}=$
$\left(\frac{64}{125}\right)^{-\frac{1}{3}}=$
$\left(\frac{25}{16}\right)^{-\frac{1}{2}}=$