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Exponent Laws

Practice

Evaluate. Give your answers as fractions.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Evaluate. Give your answers as fractions.

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

$\left(\frac{8}{343}\right)^{-\frac{2}{3}}=$
$\left(\frac{64}{27}\right)^{\frac{1}{3}}=$
$\left(\frac{64}{81}\right)^{-\frac{1}{2}}=$

$\left(\frac{125}{64}\right)^{\frac{1}{3}}=$
$\left(\frac{512}{343}\right)^{-\frac{2}{3}}=$
$\left(\frac{9}{16}\right)^{\frac{1}{2}}=$

$\left(\frac{64}{729}\right)^{-\frac{2}{3}}=$
$\left(\frac{1}{8}\right)^{\frac{2}{3}}=$
$\left(\frac{27}{343}\right)^{\frac{2}{3}}=$

$\left(\frac{9}{100}\right)^{\frac{1}{2}}=$
$\left(\frac{729}{125}\right)^{-\frac{2}{3}}=$
$\left(\frac{343}{64}\right)^{-\frac{2}{3}}=$

$\left(\frac{216}{343}\right)^{\frac{1}{3}}=$
$\left(\frac{9}{64}\right)^{\frac{1}{2}}=$
$\left(\frac{125}{512}\right)^{-\frac{2}{3}}=$

$\left(\frac{4}{81}\right)^{\frac{1}{2}}=$
$\left(\frac{1000}{729}\right)^{-\frac{2}{3}}=$
$\left(\frac{343}{216}\right)^{\frac{1}{3}}=$