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Exponent Laws

Practice

Evaluate. Give your answers as fractions.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Evaluate. Give your answers as fractions.

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

$\left(\frac{343}{8}\right)^{\frac{2}{3}}=$
$\left(\frac{1}{25}\right)^{-\frac{1}{2}}=$
$\left(\frac{16}{81}\right)^{-\frac{1}{2}}=$

$\left(\frac{1}{216}\right)^{\frac{1}{3}}=$
$\left(\frac{125}{729}\right)^{-\frac{2}{3}}=$
$\left(\frac{81}{49}\right)^{\frac{1}{2}}=$

$\left(\frac{16}{81}\right)^{-\frac{3}{4}}=$
$\left(\frac{8}{343}\right)^{-\frac{2}{3}}=$
$\left(\frac{729}{343}\right)^{\frac{2}{3}}=$

$\left(\frac{125}{343}\right)^{\frac{2}{3}}=$
$\left(\frac{16}{49}\right)^{-\frac{1}{2}}=$
$\left(\frac{1000}{343}\right)^{\frac{2}{3}}=$

$\left(\frac{49}{4}\right)^{-\frac{1}{2}}=$
$\left(\frac{125}{512}\right)^{-\frac{1}{3}}=$
$\left(\frac{9}{16}\right)^{-\frac{1}{2}}=$

$\left(\frac{81}{16}\right)^{\frac{3}{4}}=$
$\left(\frac{512}{125}\right)^{\frac{1}{3}}=$
$\left(\frac{81}{25}\right)^{-\frac{1}{2}}=$