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Exponent Laws

Practice

Evaluate. Give your answers as fractions.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Evaluate. Give your answers as fractions.

$\left(\frac{9}{49}\right)^{\frac{1}{2}}=$
$\left(\frac{1}{9}\right)^{\frac{1}{2}}=$
$\left(\frac{1}{32}\right)^{\frac{3}{5}}=$

$\left(\frac{81}{4}\right)^{\frac{1}{2}}=$
$\left(\frac{9}{49}\right)^{-\frac{1}{2}}=$
$\left(\frac{729}{8}\right)^{-\frac{2}{3}}=$

$\left(\frac{64}{125}\right)^{\frac{1}{3}}=$
$\left(\frac{729}{64}\right)^{-\frac{1}{3}}=$
$\left(\frac{1}{25}\right)^{-\frac{1}{2}}=$

$\left(\frac{9}{16}\right)^{\frac{1}{2}}=$
$\left(\frac{1}{216}\right)^{\frac{1}{3}}=$
$\left(\frac{729}{125}\right)^{-\frac{2}{3}}=$

$\left(\frac{729}{343}\right)^{\frac{2}{3}}=$
$\left(\frac{64}{9}\right)^{\frac{1}{2}}=$
$\left(\frac{729}{1000}\right)^{\frac{2}{3}}=$

$\left(\frac{1}{8}\right)^{-\frac{1}{3}}=$
$\left(\frac{16}{81}\right)^{-\frac{3}{4}}=$
$\left(\frac{1}{16}\right)^{\frac{1}{4}}=$

$\left(\frac{8}{27}\right)^{\frac{1}{3}}=$
$\left(\frac{64}{729}\right)^{\frac{1}{3}}=$
$\left(\frac{1}{729}\right)^{\frac{1}{3}}=$