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Exponent Laws

Practice

Evaluate. Give your answers as fractions.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Evaluate. Give your answers as fractions.

$\left(\frac{8}{27}\right)^{-\frac{2}{3}}=$
$\left(\frac{125}{8}\right)^{\frac{2}{3}}=$
$\left(\frac{64}{81}\right)^{-\frac{1}{2}}=$

$\left(\frac{512}{125}\right)^{\frac{1}{3}}=$
$\left(\frac{343}{8}\right)^{\frac{1}{3}}=$
$\left(\frac{81}{16}\right)^{-\frac{3}{4}}=$

$\left(\frac{27}{8}\right)^{-\frac{1}{3}}=$
$\left(\frac{49}{25}\right)^{\frac{1}{2}}=$
$\left(\frac{1}{512}\right)^{\frac{2}{3}}=$

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

$\left(\frac{49}{16}\right)^{-\frac{1}{2}}=$
$\left(\frac{100}{9}\right)^{-\frac{1}{2}}=$
$\left(\frac{1}{8}\right)^{\frac{1}{3}}=$

$\left(\frac{729}{343}\right)^{\frac{1}{3}}=$
$\left(\frac{25}{9}\right)^{-\frac{1}{2}}=$
$\left(\frac{1}{36}\right)^{\frac{1}{2}}=$

$\left(\frac{9}{4}\right)^{-\frac{1}{2}}=$
$\left(\frac{8}{343}\right)^{-\frac{1}{3}}=$
$\left(\frac{729}{125}\right)^{-\frac{2}{3}}=$