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Exponent Laws

Practice

Evaluate. Give your answers as fractions.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Evaluate. Give your answers as fractions.

$\left(\frac{27}{125}\right)^{\frac{1}{3}}=$
$\left(\frac{1}{36}\right)^{\frac{1}{2}}=$
$\left(\frac{1}{729}\right)^{-\frac{2}{3}}=$

$\left(\frac{512}{729}\right)^{\frac{2}{3}}=$
$\left(\frac{343}{27}\right)^{-\frac{2}{3}}=$
$\left(\frac{36}{25}\right)^{-\frac{1}{2}}=$

$\left(\frac{512}{27}\right)^{\frac{1}{3}}=$
$\left(\frac{64}{49}\right)^{-\frac{1}{2}}=$
$\left(\frac{64}{125}\right)^{\frac{2}{3}}=$

$\left(\frac{27}{125}\right)^{-\frac{2}{3}}=$
$\left(\frac{1}{125}\right)^{-\frac{2}{3}}=$
$\left(\frac{64}{81}\right)^{-\frac{1}{2}}=$

$\left(\frac{216}{125}\right)^{\frac{1}{3}}=$
$\left(\frac{1}{16}\right)^{-\frac{1}{2}}=$
$\left(\frac{4}{25}\right)^{-\frac{1}{2}}=$

$\left(\frac{1}{81}\right)^{\frac{1}{4}}=$
$\left(\frac{1000}{27}\right)^{\frac{1}{3}}=$
$\left(\frac{1}{125}\right)^{-\frac{1}{3}}=$

$\left(\frac{343}{8}\right)^{\frac{2}{3}}=$
$\left(\frac{512}{125}\right)^{\frac{1}{3}}=$
$\left(\frac{1}{1000}\right)^{\frac{2}{3}}=$