itomath.com

Exponent Laws

Practice

Evaluate. Give your answers as fractions.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

$32^{\frac{1}{5}}$

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

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

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

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

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

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

Evaluate. Give your answers as fractions.

$\left(\frac{343}{1000}\right)^{\frac{1}{3}}=$
$\left(\frac{100}{81}\right)^{-\frac{1}{2}}=$
$\left(\frac{36}{25}\right)^{-\frac{1}{2}}=$

$\left(\frac{1}{81}\right)^{-\frac{3}{4}}=$
$\left(\frac{8}{27}\right)^{\frac{2}{3}}=$
$\left(\frac{125}{729}\right)^{\frac{1}{3}}=$

$\left(\frac{216}{125}\right)^{-\frac{1}{3}}=$
$\left(\frac{81}{64}\right)^{\frac{1}{2}}=$
$\left(\frac{4}{81}\right)^{\frac{1}{2}}=$

$\left(\frac{1}{32}\right)^{-\frac{1}{5}}=$
$\left(\frac{1000}{343}\right)^{-\frac{1}{3}}=$
$\left(\frac{512}{343}\right)^{\frac{2}{3}}=$

$\left(\frac{49}{64}\right)^{\frac{1}{2}}=$
$\left(\frac{125}{343}\right)^{-\frac{2}{3}}=$
$\left(\frac{343}{512}\right)^{-\frac{1}{3}}=$

$\left(\frac{512}{125}\right)^{\frac{1}{3}}=$
$\left(\frac{343}{512}\right)^{-\frac{2}{3}}=$
$\left(\frac{81}{16}\right)^{\frac{1}{2}}=$

$\left(\frac{729}{8}\right)^{-\frac{2}{3}}=$
$\left(\frac{64}{27}\right)^{-\frac{1}{3}}=$
$\left(\frac{8}{729}\right)^{-\frac{1}{3}}=$