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Exponent Laws

Practice

Evaluate. Give your answers as fractions.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Evaluate. Give your answers as fractions.

$\left(\frac{49}{25}\right)^{\frac{1}{2}}=$
$\left(\frac{81}{49}\right)^{-\frac{1}{2}}=$
$\left(\frac{25}{9}\right)^{\frac{1}{2}}=$

$\left(\frac{512}{729}\right)^{\frac{1}{3}}=$
$\left(\frac{1000}{27}\right)^{\frac{2}{3}}=$
$\left(\frac{1}{81}\right)^{-\frac{1}{2}}=$

$\left(\frac{49}{16}\right)^{\frac{1}{2}}=$
$\left(\frac{216}{343}\right)^{-\frac{2}{3}}=$
$\left(\frac{1}{216}\right)^{-\frac{2}{3}}=$

$\left(\frac{27}{343}\right)^{-\frac{1}{3}}=$
$\left(\frac{27}{125}\right)^{\frac{1}{3}}=$
$\left(\frac{25}{81}\right)^{\frac{1}{2}}=$

$\left(\frac{16}{9}\right)^{\frac{1}{2}}=$
$\left(\frac{1}{125}\right)^{-\frac{1}{3}}=$
$\left(\frac{4}{81}\right)^{-\frac{1}{2}}=$

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

$\left(\frac{25}{49}\right)^{-\frac{1}{2}}=$
$\left(\frac{343}{729}\right)^{\frac{2}{3}}=$
$\left(\frac{1}{1000}\right)^{\frac{1}{3}}=$