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Exponent Laws

Practice

Evaluate. Give your answers as fractions.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Evaluate. Give your answers as fractions.

$\left(\frac{8}{27}\right)^{\frac{2}{3}}=$
$\left(\frac{9}{25}\right)^{\frac{1}{2}}=$
$\left(\frac{1}{64}\right)^{-\frac{1}{3}}=$

$\left(\frac{343}{8}\right)^{-\frac{1}{3}}=$
$\left(\frac{49}{81}\right)^{-\frac{1}{2}}=$
$\left(\frac{343}{216}\right)^{-\frac{1}{3}}=$

$\left(\frac{25}{36}\right)^{\frac{1}{2}}=$
$\left(\frac{81}{16}\right)^{\frac{1}{4}}=$
$\left(\frac{64}{729}\right)^{-\frac{2}{3}}=$

$\left(\frac{512}{27}\right)^{\frac{2}{3}}=$
$\left(\frac{1}{216}\right)^{\frac{1}{3}}=$
$\left(\frac{343}{729}\right)^{-\frac{1}{3}}=$

$\left(\frac{1}{100}\right)^{\frac{1}{2}}=$
$\left(\frac{1}{8}\right)^{\frac{2}{3}}=$
$\left(\frac{1}{512}\right)^{\frac{1}{3}}=$

$\left(\frac{729}{512}\right)^{-\frac{2}{3}}=$
$\left(\frac{343}{729}\right)^{\frac{1}{3}}=$
$\left(\frac{343}{125}\right)^{\frac{2}{3}}=$

$\left(\frac{25}{9}\right)^{\frac{1}{2}}=$
$\left(\frac{27}{64}\right)^{\frac{1}{3}}=$
$\left(\frac{1}{64}\right)^{\frac{1}{3}}=$