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Exponent Laws

Practice

Evaluate. Give your answers as fractions.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

$8^{-\frac{1}{3}}$

$8^{\frac{1}{3}}$

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

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

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

Evaluate. Give your answers as fractions.

$\left(\frac{343}{729}\right)^{-\frac{2}{3}}=$
$\left(\frac{1}{32}\right)^{\frac{1}{5}}=$
$\left(\frac{1}{27}\right)^{\frac{1}{3}}=$

$\left(\frac{1000}{343}\right)^{\frac{2}{3}}=$
$\left(\frac{81}{16}\right)^{\frac{1}{2}}=$
$\left(\frac{125}{8}\right)^{-\frac{2}{3}}=$

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

$\left(\frac{1}{1000}\right)^{\frac{2}{3}}=$
$\left(\frac{343}{27}\right)^{\frac{2}{3}}=$
$\left(\frac{512}{27}\right)^{\frac{1}{3}}=$

$\left(\frac{343}{64}\right)^{-\frac{1}{3}}=$
$\left(\frac{25}{81}\right)^{\frac{1}{2}}=$
$\left(\frac{27}{64}\right)^{-\frac{2}{3}}=$

$\left(\frac{729}{343}\right)^{-\frac{1}{3}}=$
$\left(\frac{81}{4}\right)^{-\frac{1}{2}}=$
$\left(\frac{8}{729}\right)^{\frac{1}{3}}=$

$\left(\frac{1}{81}\right)^{\frac{1}{4}}=$
$\left(\frac{8}{343}\right)^{\frac{1}{3}}=$
$\left(\frac{81}{49}\right)^{\frac{1}{2}}=$