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Exponent Laws

Practice

Evaluate. Give your answers as fractions.

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

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

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

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

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

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

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

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

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

$49^{\frac{1}{2}}$

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Evaluate. Give your answers as fractions.

$\left(\frac{729}{512}\right)^{-\frac{1}{3}}=$
$\left(\frac{1}{729}\right)^{\frac{1}{3}}=$
$\left(\frac{49}{9}\right)^{\frac{1}{2}}=$

$\left(\frac{729}{512}\right)^{\frac{2}{3}}=$
$\left(\frac{36}{49}\right)^{-\frac{1}{2}}=$
$\left(\frac{1}{32}\right)^{\frac{3}{5}}=$

$\left(\frac{64}{125}\right)^{\frac{2}{3}}=$
$\left(\frac{125}{8}\right)^{\frac{2}{3}}=$
$\left(\frac{25}{49}\right)^{-\frac{1}{2}}=$

$\left(\frac{64}{343}\right)^{\frac{1}{3}}=$
$\left(\frac{1}{4}\right)^{\frac{1}{2}}=$
$\left(\frac{512}{343}\right)^{\frac{1}{3}}=$

$\left(\frac{1}{32}\right)^{-\frac{1}{5}}=$
$\left(\frac{8}{27}\right)^{\frac{2}{3}}=$
$\left(\frac{100}{81}\right)^{\frac{1}{2}}=$

$\left(\frac{27}{343}\right)^{-\frac{2}{3}}=$
$\left(\frac{64}{343}\right)^{-\frac{2}{3}}=$
$\left(\frac{729}{343}\right)^{-\frac{1}{3}}=$

$\left(\frac{343}{216}\right)^{-\frac{2}{3}}=$
$\left(\frac{125}{729}\right)^{\frac{1}{3}}=$
$\left(\frac{125}{216}\right)^{\frac{2}{3}}=$