itomath.com

Exponent Laws

Practice

Evaluate. Give your answers as fractions.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Evaluate. Give your answers as fractions.

$\left(\frac{100}{81}\right)^{-\frac{1}{2}}=$
$\left(\frac{4}{9}\right)^{-\frac{1}{2}}=$
$\left(\frac{1}{125}\right)^{\frac{2}{3}}=$

$\left(\frac{1}{36}\right)^{\frac{1}{2}}=$
$\left(\frac{64}{27}\right)^{-\frac{1}{3}}=$
$\left(\frac{49}{25}\right)^{\frac{1}{2}}=$

$\left(\frac{1}{16}\right)^{-\frac{1}{4}}=$
$\left(\frac{512}{343}\right)^{-\frac{2}{3}}=$
$\left(\frac{27}{512}\right)^{\frac{2}{3}}=$

$\left(\frac{1}{8}\right)^{-\frac{1}{3}}=$
$\left(\frac{64}{9}\right)^{\frac{1}{2}}=$
$\left(\frac{216}{125}\right)^{\frac{1}{3}}=$

$\left(\frac{343}{64}\right)^{\frac{1}{3}}=$
$\left(\frac{49}{4}\right)^{\frac{1}{2}}=$
$\left(\frac{125}{512}\right)^{\frac{1}{3}}=$

$\left(\frac{25}{16}\right)^{\frac{1}{2}}=$
$\left(\frac{343}{8}\right)^{\frac{1}{3}}=$
$\left(\frac{1}{1000}\right)^{-\frac{1}{3}}=$

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