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Exponent Laws

Practice

Evaluate. Give your answers as fractions.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Evaluate. Give your answers as fractions.

$\left(\frac{64}{125}\right)^{-\frac{2}{3}}=$
$\left(\frac{27}{1000}\right)^{\frac{1}{3}}=$
$\left(\frac{27}{125}\right)^{-\frac{2}{3}}=$

$\left(\frac{49}{9}\right)^{\frac{1}{2}}=$
$\left(\frac{729}{512}\right)^{-\frac{2}{3}}=$
$\left(\frac{125}{27}\right)^{-\frac{1}{3}}=$

$\left(\frac{512}{729}\right)^{\frac{1}{3}}=$
$\left(\frac{100}{9}\right)^{\frac{1}{2}}=$
$\left(\frac{1}{100}\right)^{\frac{1}{2}}=$

$\left(\frac{125}{216}\right)^{-\frac{1}{3}}=$
$\left(\frac{1}{49}\right)^{\frac{1}{2}}=$
$\left(\frac{729}{343}\right)^{-\frac{2}{3}}=$

$\left(\frac{343}{1000}\right)^{\frac{1}{3}}=$
$\left(\frac{36}{25}\right)^{\frac{1}{2}}=$
$\left(\frac{125}{343}\right)^{-\frac{2}{3}}=$

$\left(\frac{1000}{27}\right)^{-\frac{2}{3}}=$
$\left(\frac{343}{512}\right)^{-\frac{2}{3}}=$
$\left(\frac{729}{64}\right)^{\frac{1}{3}}=$

$\left(\frac{343}{27}\right)^{-\frac{1}{3}}=$
$\left(\frac{125}{729}\right)^{-\frac{1}{3}}=$
$\left(\frac{125}{512}\right)^{\frac{1}{3}}=$