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Exponent Laws

Practice

Evaluate. Give your answers as fractions.

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

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

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

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

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

$36^{\frac{1}{2}}$

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Evaluate. Give your answers as fractions.

$\left(\frac{125}{8}\right)^{\frac{2}{3}}=$
$\left(\frac{81}{64}\right)^{-\frac{1}{2}}=$
$\left(\frac{4}{81}\right)^{\frac{1}{2}}=$

$\left(\frac{512}{27}\right)^{-\frac{1}{3}}=$
$\left(\frac{100}{49}\right)^{\frac{1}{2}}=$
$\left(\frac{4}{9}\right)^{\frac{1}{2}}=$

$\left(\frac{1000}{343}\right)^{\frac{2}{3}}=$
$\left(\frac{343}{216}\right)^{-\frac{1}{3}}=$
$\left(\frac{8}{343}\right)^{\frac{2}{3}}=$

$\left(\frac{64}{25}\right)^{-\frac{1}{2}}=$
$\left(\frac{1}{32}\right)^{\frac{3}{5}}=$
$\left(\frac{27}{1000}\right)^{\frac{2}{3}}=$

$\left(\frac{343}{729}\right)^{\frac{2}{3}}=$
$\left(\frac{16}{81}\right)^{\frac{3}{4}}=$
$\left(\frac{125}{64}\right)^{-\frac{1}{3}}=$

$\left(\frac{512}{27}\right)^{\frac{1}{3}}=$
$\left(\frac{1000}{27}\right)^{-\frac{2}{3}}=$
$\left(\frac{1}{343}\right)^{\frac{2}{3}}=$

$\left(\frac{1}{16}\right)^{-\frac{1}{4}}=$
$\left(\frac{4}{49}\right)^{\frac{1}{2}}=$
$\left(\frac{125}{729}\right)^{-\frac{1}{3}}=$