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Exponent Laws

Practice

Evaluate. Give your answers as fractions.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Evaluate. Give your answers as fractions.

$\left(\frac{49}{100}\right)^{-\frac{1}{2}}=$
$\left(\frac{512}{729}\right)^{\frac{2}{3}}=$
$\left(\frac{125}{343}\right)^{-\frac{2}{3}}=$

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

$\left(\frac{1000}{27}\right)^{-\frac{2}{3}}=$
$\left(\frac{1}{216}\right)^{-\frac{2}{3}}=$
$\left(\frac{49}{64}\right)^{\frac{1}{2}}=$

$\left(\frac{1}{36}\right)^{\frac{1}{2}}=$
$\left(\frac{125}{729}\right)^{-\frac{1}{3}}=$
$\left(\frac{729}{1000}\right)^{\frac{2}{3}}=$

$\left(\frac{512}{343}\right)^{-\frac{2}{3}}=$
$\left(\frac{1}{32}\right)^{\frac{3}{5}}=$
$\left(\frac{27}{64}\right)^{-\frac{2}{3}}=$

$\left(\frac{9}{100}\right)^{-\frac{1}{2}}=$
$\left(\frac{49}{16}\right)^{\frac{1}{2}}=$
$\left(\frac{100}{49}\right)^{-\frac{1}{2}}=$

$\left(\frac{64}{343}\right)^{\frac{2}{3}}=$
$\left(\frac{125}{512}\right)^{-\frac{2}{3}}=$
$\left(\frac{81}{100}\right)^{-\frac{1}{2}}=$