itomath.com

Exponent Laws

Practice

Evaluate. Give your answers as fractions.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Evaluate. Give your answers as fractions.

$\left(\frac{8}{27}\right)^{-\frac{2}{3}}=$
$\left(\frac{49}{100}\right)^{\frac{1}{2}}=$
$\left(\frac{1}{216}\right)^{\frac{1}{3}}=$

$\left(\frac{81}{16}\right)^{-\frac{1}{2}}=$
$\left(\frac{729}{125}\right)^{-\frac{2}{3}}=$
$\left(\frac{125}{216}\right)^{-\frac{2}{3}}=$

$\left(\frac{9}{16}\right)^{-\frac{1}{2}}=$
$\left(\frac{125}{343}\right)^{\frac{1}{3}}=$
$\left(\frac{343}{216}\right)^{-\frac{1}{3}}=$

$\left(\frac{1}{9}\right)^{\frac{1}{2}}=$
$\left(\frac{8}{343}\right)^{\frac{2}{3}}=$
$\left(\frac{125}{27}\right)^{\frac{2}{3}}=$

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

$\left(\frac{1}{9}\right)^{-\frac{1}{2}}=$
$\left(\frac{1000}{729}\right)^{\frac{2}{3}}=$
$\left(\frac{64}{9}\right)^{-\frac{1}{2}}=$

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