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Exponent Laws

Practice

Evaluate. Give your answers as fractions.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Evaluate. Give your answers as fractions.

$\left(\frac{49}{4}\right)^{-\frac{1}{2}}=$
$\left(\frac{125}{8}\right)^{\frac{2}{3}}=$
$\left(\frac{216}{343}\right)^{-\frac{1}{3}}=$

$\left(\frac{64}{729}\right)^{-\frac{1}{3}}=$
$\left(\frac{125}{27}\right)^{\frac{2}{3}}=$
$\left(\frac{1}{100}\right)^{\frac{1}{2}}=$

$\left(\frac{343}{1000}\right)^{-\frac{2}{3}}=$
$\left(\frac{1}{36}\right)^{\frac{1}{2}}=$
$\left(\frac{1}{32}\right)^{-\frac{1}{5}}=$

$\left(\frac{343}{512}\right)^{\frac{1}{3}}=$
$\left(\frac{729}{8}\right)^{\frac{1}{3}}=$
$\left(\frac{343}{27}\right)^{\frac{1}{3}}=$

$\left(\frac{343}{512}\right)^{-\frac{1}{3}}=$
$\left(\frac{216}{343}\right)^{\frac{1}{3}}=$
$\left(\frac{216}{125}\right)^{-\frac{1}{3}}=$

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

$\left(\frac{125}{343}\right)^{\frac{1}{3}}=$
$\left(\frac{343}{64}\right)^{\frac{2}{3}}=$
$\left(\frac{4}{81}\right)^{\frac{1}{2}}=$