itomath.com

Exponent Laws

Practice

Evaluate. Give your answers as fractions.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Evaluate. Give your answers as fractions.

$\left(\frac{1}{27}\right)^{-\frac{2}{3}}=$
$\left(\frac{81}{100}\right)^{-\frac{1}{2}}=$
$\left(\frac{1}{125}\right)^{\frac{1}{3}}=$

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

$\left(\frac{1000}{343}\right)^{\frac{1}{3}}=$
$\left(\frac{1}{81}\right)^{-\frac{1}{4}}=$
$\left(\frac{25}{36}\right)^{-\frac{1}{2}}=$

$\left(\frac{1}{27}\right)^{\frac{1}{3}}=$
$\left(\frac{1}{125}\right)^{\frac{2}{3}}=$
$\left(\frac{125}{343}\right)^{\frac{1}{3}}=$

$\left(\frac{512}{729}\right)^{-\frac{1}{3}}=$
$\left(\frac{27}{512}\right)^{-\frac{2}{3}}=$
$\left(\frac{9}{25}\right)^{\frac{1}{2}}=$

$\left(\frac{49}{25}\right)^{-\frac{1}{2}}=$
$\left(\frac{27}{512}\right)^{\frac{1}{3}}=$
$\left(\frac{16}{9}\right)^{\frac{1}{2}}=$

$\left(\frac{4}{9}\right)^{-\frac{1}{2}}=$
$\left(\frac{729}{8}\right)^{-\frac{2}{3}}=$
$\left(\frac{125}{8}\right)^{\frac{1}{3}}=$