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Exponent Laws

Practice

Evaluate. Give your answers as fractions.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Evaluate. Give your answers as fractions.

$\left(\frac{4}{49}\right)^{\frac{1}{2}}=$
$\left(\frac{512}{125}\right)^{\frac{2}{3}}=$
$\left(\frac{125}{343}\right)^{-\frac{1}{3}}=$

$\left(\frac{512}{729}\right)^{\frac{2}{3}}=$
$\left(\frac{64}{49}\right)^{\frac{1}{2}}=$
$\left(\frac{1}{512}\right)^{\frac{1}{3}}=$

$\left(\frac{64}{729}\right)^{-\frac{2}{3}}=$
$\left(\frac{64}{25}\right)^{\frac{1}{2}}=$
$\left(\frac{1}{32}\right)^{\frac{4}{5}}=$

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

$\left(\frac{81}{16}\right)^{-\frac{3}{4}}=$
$\left(\frac{1}{512}\right)^{-\frac{2}{3}}=$
$\left(\frac{1000}{729}\right)^{-\frac{2}{3}}=$

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

$\left(\frac{125}{216}\right)^{\frac{1}{3}}=$
$\left(\frac{64}{343}\right)^{\frac{1}{3}}=$
$\left(\frac{125}{729}\right)^{\frac{2}{3}}=$