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Exponent Laws

Practice

Evaluate. Give your answers as fractions.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Evaluate. Give your answers as fractions.

$\left(\frac{8}{125}\right)^{-\frac{2}{3}}=$
$\left(\frac{100}{9}\right)^{-\frac{1}{2}}=$
$\left(\frac{125}{64}\right)^{\frac{1}{3}}=$

$\left(\frac{729}{512}\right)^{-\frac{2}{3}}=$
$\left(\frac{81}{100}\right)^{\frac{1}{2}}=$
$\left(\frac{125}{8}\right)^{\frac{1}{3}}=$

$\left(\frac{343}{8}\right)^{-\frac{1}{3}}=$
$\left(\frac{9}{64}\right)^{\frac{1}{2}}=$
$\left(\frac{512}{27}\right)^{-\frac{2}{3}}=$

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

$\left(\frac{49}{9}\right)^{\frac{1}{2}}=$
$\left(\frac{343}{8}\right)^{\frac{1}{3}}=$
$\left(\frac{49}{9}\right)^{-\frac{1}{2}}=$

$\left(\frac{4}{9}\right)^{-\frac{1}{2}}=$
$\left(\frac{64}{125}\right)^{-\frac{2}{3}}=$
$\left(\frac{729}{1000}\right)^{-\frac{2}{3}}=$

$\left(\frac{343}{125}\right)^{-\frac{2}{3}}=$
$\left(\frac{9}{49}\right)^{\frac{1}{2}}=$
$\left(\frac{1}{64}\right)^{-\frac{1}{2}}=$