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Exponent Laws

Practice

Evaluate. Give your answers as fractions.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Evaluate. Give your answers as fractions.

$\left(\frac{27}{512}\right)^{\frac{1}{3}}=$
$\left(\frac{125}{343}\right)^{\frac{2}{3}}=$
$\left(\frac{25}{4}\right)^{-\frac{1}{2}}=$

$\left(\frac{343}{1000}\right)^{-\frac{2}{3}}=$
$\left(\frac{512}{343}\right)^{-\frac{1}{3}}=$
$\left(\frac{4}{25}\right)^{\frac{1}{2}}=$

$\left(\frac{27}{512}\right)^{-\frac{2}{3}}=$
$\left(\frac{9}{25}\right)^{-\frac{1}{2}}=$
$\left(\frac{125}{27}\right)^{\frac{2}{3}}=$

$\left(\frac{36}{25}\right)^{\frac{1}{2}}=$
$\left(\frac{49}{100}\right)^{\frac{1}{2}}=$
$\left(\frac{343}{512}\right)^{\frac{1}{3}}=$

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

$\left(\frac{27}{1000}\right)^{-\frac{2}{3}}=$
$\left(\frac{343}{216}\right)^{\frac{1}{3}}=$
$\left(\frac{4}{49}\right)^{\frac{1}{2}}=$

$\left(\frac{729}{125}\right)^{-\frac{1}{3}}=$
$\left(\frac{27}{343}\right)^{-\frac{1}{3}}=$
$\left(\frac{8}{125}\right)^{-\frac{2}{3}}=$