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Exponent Laws

Practice

Evaluate. Give your answers as fractions.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Evaluate. Give your answers as fractions.

$\left(\frac{36}{25}\right)^{-\frac{1}{2}}=$
$\left(\frac{25}{4}\right)^{\frac{1}{2}}=$
$\left(\frac{729}{1000}\right)^{-\frac{2}{3}}=$

$\left(\frac{8}{729}\right)^{-\frac{2}{3}}=$
$\left(\frac{1000}{343}\right)^{-\frac{1}{3}}=$
$\left(\frac{64}{9}\right)^{\frac{1}{2}}=$

$\left(\frac{8}{729}\right)^{\frac{2}{3}}=$
$\left(\frac{81}{16}\right)^{\frac{3}{4}}=$
$\left(\frac{343}{512}\right)^{\frac{1}{3}}=$

$\left(\frac{49}{81}\right)^{-\frac{1}{2}}=$
$\left(\frac{1}{36}\right)^{\frac{1}{2}}=$
$\left(\frac{64}{49}\right)^{\frac{1}{2}}=$

$\left(\frac{9}{25}\right)^{-\frac{1}{2}}=$
$\left(\frac{216}{343}\right)^{\frac{2}{3}}=$
$\left(\frac{27}{343}\right)^{-\frac{1}{3}}=$

$\left(\frac{100}{49}\right)^{\frac{1}{2}}=$
$\left(\frac{125}{729}\right)^{\frac{2}{3}}=$
$\left(\frac{16}{9}\right)^{-\frac{1}{2}}=$

$\left(\frac{125}{64}\right)^{-\frac{1}{3}}=$
$\left(\frac{1}{32}\right)^{\frac{2}{5}}=$
$\left(\frac{125}{216}\right)^{\frac{2}{3}}=$