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Exponent Laws

Practice

Evaluate. Give your answers as fractions.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Evaluate. Give your answers as fractions.

$\left(\frac{4}{81}\right)^{-\frac{1}{2}}=$
$\left(\frac{64}{81}\right)^{\frac{1}{2}}=$
$\left(\frac{8}{729}\right)^{\frac{1}{3}}=$

$\left(\frac{1000}{27}\right)^{\frac{2}{3}}=$
$\left(\frac{1}{343}\right)^{-\frac{1}{3}}=$
$\left(\frac{1000}{729}\right)^{\frac{2}{3}}=$

$\left(\frac{343}{512}\right)^{-\frac{2}{3}}=$
$\left(\frac{8}{125}\right)^{-\frac{1}{3}}=$
$\left(\frac{1}{512}\right)^{-\frac{2}{3}}=$

$\left(\frac{25}{9}\right)^{\frac{1}{2}}=$
$\left(\frac{64}{49}\right)^{-\frac{1}{2}}=$
$\left(\frac{27}{125}\right)^{-\frac{2}{3}}=$

$\left(\frac{1}{27}\right)^{\frac{1}{3}}=$
$\left(\frac{1}{32}\right)^{-\frac{2}{5}}=$
$\left(\frac{1}{16}\right)^{-\frac{3}{4}}=$

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

$\left(\frac{343}{8}\right)^{-\frac{1}{3}}=$
$\left(\frac{512}{729}\right)^{\frac{2}{3}}=$
$\left(\frac{27}{512}\right)^{-\frac{2}{3}}=$