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Exponent Laws

Practice

Evaluate. Give your answers as fractions.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Evaluate. Give your answers as fractions.

$\left(\frac{125}{64}\right)^{-\frac{2}{3}}=$
$\left(\frac{512}{343}\right)^{-\frac{2}{3}}=$
$\left(\frac{36}{25}\right)^{-\frac{1}{2}}=$

$\left(\frac{1}{100}\right)^{\frac{1}{2}}=$
$\left(\frac{100}{9}\right)^{\frac{1}{2}}=$
$\left(\frac{1000}{729}\right)^{\frac{1}{3}}=$

$\left(\frac{125}{64}\right)^{-\frac{1}{3}}=$
$\left(\frac{49}{9}\right)^{-\frac{1}{2}}=$
$\left(\frac{729}{343}\right)^{-\frac{2}{3}}=$

$\left(\frac{1}{81}\right)^{\frac{3}{4}}=$
$\left(\frac{27}{343}\right)^{\frac{2}{3}}=$
$\left(\frac{64}{729}\right)^{\frac{1}{3}}=$

$\left(\frac{9}{25}\right)^{\frac{1}{2}}=$
$\left(\frac{343}{216}\right)^{-\frac{2}{3}}=$
$\left(\frac{16}{81}\right)^{-\frac{3}{4}}=$

$\left(\frac{1}{512}\right)^{\frac{1}{3}}=$
$\left(\frac{1000}{729}\right)^{-\frac{1}{3}}=$
$\left(\frac{81}{16}\right)^{\frac{1}{4}}=$

$\left(\frac{49}{36}\right)^{\frac{1}{2}}=$
$\left(\frac{729}{8}\right)^{\frac{1}{3}}=$
$\left(\frac{1}{25}\right)^{\frac{1}{2}}=$