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Exponent Laws

Practice

Evaluate. Give your answers as fractions.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

$243^{\frac{1}{5}}$

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

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

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

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

Evaluate. Give your answers as fractions.

$\left(\frac{27}{512}\right)^{-\frac{2}{3}}=$
$\left(\frac{125}{27}\right)^{\frac{1}{3}}=$
$\left(\frac{343}{216}\right)^{-\frac{2}{3}}=$

$\left(\frac{4}{49}\right)^{\frac{1}{2}}=$
$\left(\frac{1}{16}\right)^{-\frac{1}{2}}=$
$\left(\frac{49}{100}\right)^{-\frac{1}{2}}=$

$\left(\frac{25}{49}\right)^{\frac{1}{2}}=$
$\left(\frac{81}{16}\right)^{\frac{3}{4}}=$
$\left(\frac{343}{125}\right)^{\frac{1}{3}}=$

$\left(\frac{49}{36}\right)^{-\frac{1}{2}}=$
$\left(\frac{16}{49}\right)^{\frac{1}{2}}=$
$\left(\frac{1}{216}\right)^{-\frac{2}{3}}=$

$\left(\frac{100}{81}\right)^{-\frac{1}{2}}=$
$\left(\frac{9}{4}\right)^{-\frac{1}{2}}=$
$\left(\frac{512}{729}\right)^{\frac{1}{3}}=$

$\left(\frac{1}{64}\right)^{-\frac{1}{2}}=$
$\left(\frac{81}{25}\right)^{-\frac{1}{2}}=$
$\left(\frac{343}{125}\right)^{\frac{2}{3}}=$

$\left(\frac{36}{25}\right)^{\frac{1}{2}}=$
$\left(\frac{125}{216}\right)^{-\frac{1}{3}}=$
$\left(\frac{1000}{27}\right)^{\frac{1}{3}}=$