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Exponent Laws

Practice

Evaluate. Give your answers as fractions.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Evaluate. Give your answers as fractions.

$\left(\frac{27}{512}\right)^{-\frac{1}{3}}=$
$\left(\frac{343}{1000}\right)^{\frac{2}{3}}=$
$\left(\frac{25}{9}\right)^{-\frac{1}{2}}=$

$\left(\frac{8}{343}\right)^{-\frac{1}{3}}=$
$\left(\frac{36}{49}\right)^{-\frac{1}{2}}=$
$\left(\frac{1}{125}\right)^{-\frac{2}{3}}=$

$\left(\frac{1}{16}\right)^{\frac{1}{4}}=$
$\left(\frac{8}{729}\right)^{-\frac{2}{3}}=$
$\left(\frac{125}{512}\right)^{-\frac{2}{3}}=$

$\left(\frac{81}{64}\right)^{\frac{1}{2}}=$
$\left(\frac{512}{729}\right)^{\frac{1}{3}}=$
$\left(\frac{125}{343}\right)^{-\frac{1}{3}}=$

$\left(\frac{216}{343}\right)^{\frac{2}{3}}=$
$\left(\frac{343}{729}\right)^{\frac{2}{3}}=$
$\left(\frac{125}{27}\right)^{-\frac{2}{3}}=$

$\left(\frac{64}{9}\right)^{\frac{1}{2}}=$
$\left(\frac{1}{216}\right)^{\frac{2}{3}}=$
$\left(\frac{729}{125}\right)^{\frac{2}{3}}=$

$\left(\frac{8}{125}\right)^{-\frac{1}{3}}=$
$\left(\frac{1}{81}\right)^{\frac{1}{4}}=$
$\left(\frac{27}{343}\right)^{\frac{2}{3}}=$