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Exponent Laws

Practice

Evaluate. Give your answers as fractions.

$32^{-\frac{1}{5}}$

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

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

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

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

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

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

$1000^{\frac{1}{3}}$

$8^{\frac{1}{3}}$

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

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

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

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

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

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

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

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

$16^{-\frac{1}{4}}$

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

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

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

$64^{-\frac{1}{3}}$

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

$4^{\frac{1}{2}}$

Evaluate. Give your answers as fractions.

$\left(\frac{1}{729}\right)^{-\frac{1}{3}}=$
$\left(\frac{729}{125}\right)^{-\frac{1}{3}}=$
$\left(\frac{8}{729}\right)^{-\frac{2}{3}}=$

$\left(\frac{49}{25}\right)^{-\frac{1}{2}}=$
$\left(\frac{8}{27}\right)^{\frac{2}{3}}=$
$\left(\frac{25}{16}\right)^{-\frac{1}{2}}=$

$\left(\frac{49}{36}\right)^{-\frac{1}{2}}=$
$\left(\frac{1}{9}\right)^{\frac{1}{2}}=$
$\left(\frac{343}{64}\right)^{-\frac{1}{3}}=$

$\left(\frac{1}{216}\right)^{-\frac{1}{3}}=$
$\left(\frac{1}{125}\right)^{\frac{1}{3}}=$
$\left(\frac{9}{4}\right)^{-\frac{1}{2}}=$

$\left(\frac{9}{100}\right)^{-\frac{1}{2}}=$
$\left(\frac{27}{8}\right)^{\frac{2}{3}}=$
$\left(\frac{27}{64}\right)^{-\frac{1}{3}}=$

$\left(\frac{64}{9}\right)^{\frac{1}{2}}=$
$\left(\frac{343}{512}\right)^{\frac{2}{3}}=$
$\left(\frac{512}{125}\right)^{\frac{1}{3}}=$

$\left(\frac{81}{25}\right)^{\frac{1}{2}}=$
$\left(\frac{729}{64}\right)^{\frac{1}{3}}=$
$\left(\frac{512}{343}\right)^{\frac{1}{3}}=$