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Exponent Laws

Practice

Evaluate. Give your answers as fractions.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Evaluate. Give your answers as fractions.

$\left(\frac{1}{8}\right)^{\frac{1}{3}}=$
$\left(\frac{343}{216}\right)^{-\frac{1}{3}}=$
$\left(\frac{49}{100}\right)^{-\frac{1}{2}}=$

$\left(\frac{1}{64}\right)^{-\frac{1}{3}}=$
$\left(\frac{1000}{27}\right)^{-\frac{1}{3}}=$
$\left(\frac{1}{512}\right)^{\frac{1}{3}}=$

$\left(\frac{125}{216}\right)^{\frac{1}{3}}=$
$\left(\frac{1}{343}\right)^{\frac{1}{3}}=$
$\left(\frac{729}{512}\right)^{\frac{2}{3}}=$

$\left(\frac{25}{9}\right)^{\frac{1}{2}}=$
$\left(\frac{125}{27}\right)^{\frac{1}{3}}=$
$\left(\frac{125}{8}\right)^{-\frac{1}{3}}=$

$\left(\frac{1000}{729}\right)^{\frac{1}{3}}=$
$\left(\frac{343}{216}\right)^{\frac{1}{3}}=$
$\left(\frac{1}{27}\right)^{-\frac{1}{3}}=$

$\left(\frac{1}{729}\right)^{-\frac{2}{3}}=$
$\left(\frac{512}{343}\right)^{-\frac{1}{3}}=$
$\left(\frac{25}{64}\right)^{\frac{1}{2}}=$

$\left(\frac{729}{125}\right)^{-\frac{1}{3}}=$
$\left(\frac{100}{9}\right)^{-\frac{1}{2}}=$
$\left(\frac{512}{125}\right)^{\frac{2}{3}}=$