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Exponent Laws

Practice

Evaluate. Give your answers as fractions.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

$27^{-\frac{1}{3}}$

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

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

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

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

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

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

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

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

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

Evaluate. Give your answers as fractions.

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

$\left(\frac{1}{16}\right)^{-\frac{1}{2}}=$
$\left(\frac{512}{125}\right)^{-\frac{1}{3}}=$
$\left(\frac{100}{81}\right)^{-\frac{1}{2}}=$

$\left(\frac{125}{216}\right)^{\frac{2}{3}}=$
$\left(\frac{729}{512}\right)^{-\frac{2}{3}}=$
$\left(\frac{25}{4}\right)^{-\frac{1}{2}}=$

$\left(\frac{49}{16}\right)^{\frac{1}{2}}=$
$\left(\frac{16}{9}\right)^{\frac{1}{2}}=$
$\left(\frac{216}{343}\right)^{\frac{1}{3}}=$

$\left(\frac{1}{8}\right)^{\frac{2}{3}}=$
$\left(\frac{1}{729}\right)^{-\frac{2}{3}}=$
$\left(\frac{125}{64}\right)^{-\frac{2}{3}}=$

$\left(\frac{216}{343}\right)^{-\frac{2}{3}}=$
$\left(\frac{64}{343}\right)^{\frac{1}{3}}=$
$\left(\frac{27}{343}\right)^{-\frac{1}{3}}=$

$\left(\frac{81}{100}\right)^{-\frac{1}{2}}=$
$\left(\frac{36}{49}\right)^{-\frac{1}{2}}=$
$\left(\frac{16}{49}\right)^{\frac{1}{2}}=$