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Exponent Laws

Practice

Evaluate. Give your answers as fractions.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Evaluate. Give your answers as fractions.

$\left(\frac{125}{512}\right)^{-\frac{2}{3}}=$
$\left(\frac{64}{27}\right)^{\frac{2}{3}}=$
$\left(\frac{1000}{343}\right)^{-\frac{1}{3}}=$

$\left(\frac{1}{32}\right)^{-\frac{2}{5}}=$
$\left(\frac{25}{64}\right)^{-\frac{1}{2}}=$
$\left(\frac{343}{729}\right)^{\frac{1}{3}}=$

$\left(\frac{1}{100}\right)^{-\frac{1}{2}}=$
$\left(\frac{25}{16}\right)^{-\frac{1}{2}}=$
$\left(\frac{125}{729}\right)^{-\frac{2}{3}}=$

$\left(\frac{8}{125}\right)^{\frac{2}{3}}=$
$\left(\frac{729}{512}\right)^{-\frac{2}{3}}=$
$\left(\frac{216}{343}\right)^{\frac{2}{3}}=$

$\left(\frac{125}{27}\right)^{\frac{1}{3}}=$
$\left(\frac{729}{8}\right)^{\frac{1}{3}}=$
$\left(\frac{25}{4}\right)^{-\frac{1}{2}}=$

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

$\left(\frac{216}{125}\right)^{\frac{2}{3}}=$
$\left(\frac{1}{16}\right)^{\frac{1}{2}}=$
$\left(\frac{49}{64}\right)^{\frac{1}{2}}=$