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Exponent Laws

Practice

Evaluate. Give your answers as fractions.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Evaluate. Give your answers as fractions.

$\left(\frac{9}{25}\right)^{\frac{1}{2}}=$
$\left(\frac{343}{729}\right)^{\frac{1}{3}}=$
$\left(\frac{1}{32}\right)^{-\frac{4}{5}}=$

$\left(\frac{64}{729}\right)^{\frac{1}{3}}=$
$\left(\frac{729}{343}\right)^{-\frac{2}{3}}=$
$\left(\frac{1}{32}\right)^{\frac{4}{5}}=$

$\left(\frac{512}{343}\right)^{-\frac{1}{3}}=$
$\left(\frac{1}{1000}\right)^{\frac{1}{3}}=$
$\left(\frac{49}{64}\right)^{\frac{1}{2}}=$

$\left(\frac{512}{125}\right)^{-\frac{2}{3}}=$
$\left(\frac{81}{16}\right)^{\frac{1}{4}}=$
$\left(\frac{512}{343}\right)^{-\frac{2}{3}}=$

$\left(\frac{8}{729}\right)^{-\frac{2}{3}}=$
$\left(\frac{1}{9}\right)^{-\frac{1}{2}}=$
$\left(\frac{512}{729}\right)^{-\frac{2}{3}}=$

$\left(\frac{36}{49}\right)^{-\frac{1}{2}}=$
$\left(\frac{512}{27}\right)^{-\frac{2}{3}}=$
$\left(\frac{125}{512}\right)^{-\frac{2}{3}}=$

$\left(\frac{1}{16}\right)^{-\frac{1}{4}}=$
$\left(\frac{1}{8}\right)^{-\frac{2}{3}}=$
$\left(\frac{27}{1000}\right)^{\frac{1}{3}}=$