itomath.com

Exponent Laws

Practice

Evaluate. Give your answers as fractions.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Evaluate. Give your answers as fractions.

$\left(\frac{27}{64}\right)^{-\frac{1}{3}}=$
$\left(\frac{729}{1000}\right)^{\frac{1}{3}}=$
$\left(\frac{125}{27}\right)^{-\frac{2}{3}}=$

$\left(\frac{216}{343}\right)^{-\frac{1}{3}}=$
$\left(\frac{1}{16}\right)^{\frac{1}{2}}=$
$\left(\frac{729}{512}\right)^{\frac{2}{3}}=$

$\left(\frac{81}{16}\right)^{-\frac{1}{4}}=$
$\left(\frac{64}{49}\right)^{-\frac{1}{2}}=$
$\left(\frac{729}{1000}\right)^{\frac{2}{3}}=$

$\left(\frac{8}{125}\right)^{-\frac{1}{3}}=$
$\left(\frac{16}{49}\right)^{\frac{1}{2}}=$
$\left(\frac{1}{216}\right)^{-\frac{2}{3}}=$

$\left(\frac{125}{343}\right)^{-\frac{2}{3}}=$
$\left(\frac{27}{512}\right)^{\frac{1}{3}}=$
$\left(\frac{9}{16}\right)^{\frac{1}{2}}=$

$\left(\frac{1000}{343}\right)^{\frac{2}{3}}=$
$\left(\frac{343}{27}\right)^{-\frac{1}{3}}=$
$\left(\frac{81}{4}\right)^{-\frac{1}{2}}=$

$\left(\frac{512}{343}\right)^{-\frac{2}{3}}=$
$\left(\frac{125}{729}\right)^{-\frac{2}{3}}=$
$\left(\frac{16}{81}\right)^{\frac{3}{4}}=$