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Exponent Laws

Practice

Evaluate. Give your answers as fractions.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Evaluate. Give your answers as fractions.

$\left(\frac{81}{16}\right)^{\frac{3}{4}}=$
$\left(\frac{81}{16}\right)^{\frac{1}{4}}=$
$\left(\frac{9}{25}\right)^{\frac{1}{2}}=$

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

$\left(\frac{49}{64}\right)^{-\frac{1}{2}}=$
$\left(\frac{64}{81}\right)^{-\frac{1}{2}}=$
$\left(\frac{125}{343}\right)^{\frac{2}{3}}=$

$\left(\frac{1000}{27}\right)^{-\frac{2}{3}}=$
$\left(\frac{1}{49}\right)^{\frac{1}{2}}=$
$\left(\frac{100}{49}\right)^{-\frac{1}{2}}=$

$\left(\frac{8}{125}\right)^{\frac{1}{3}}=$
$\left(\frac{9}{16}\right)^{-\frac{1}{2}}=$
$\left(\frac{729}{8}\right)^{-\frac{1}{3}}=$

$\left(\frac{49}{16}\right)^{\frac{1}{2}}=$
$\left(\frac{512}{343}\right)^{\frac{1}{3}}=$
$\left(\frac{81}{16}\right)^{-\frac{1}{4}}=$

$\left(\frac{1}{32}\right)^{-\frac{2}{5}}=$
$\left(\frac{512}{343}\right)^{-\frac{2}{3}}=$
$\left(\frac{512}{125}\right)^{-\frac{1}{3}}=$