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Exponent Laws

Practice

Evaluate. Give your answers as fractions.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Evaluate. Give your answers as fractions.

$\left(\frac{81}{16}\right)^{\frac{3}{4}}=$

$\left(\frac{1}{16}\right)^{\frac{1}{2}}=$

$\left(\frac{729}{512}\right)^{\frac{2}{3}}=$

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

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

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

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

$\left(\frac{1}{4}\right)^{\frac{1}{2}}=$

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

$\left(\frac{81}{4}\right)^{\frac{1}{2}}=$

$\left(\frac{1}{27}\right)^{\frac{1}{3}}=$

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

$\left(\frac{4}{9}\right)^{\frac{1}{2}}=$

$\left(\frac{16}{81}\right)^{\frac{1}{2}}=$

$\left(\frac{8}{729}\right)^{-\frac{2}{3}}=$

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

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

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

$\left(\frac{1}{1000}\right)^{-\frac{1}{3}}=$

$\left(\frac{9}{4}\right)^{\frac{1}{2}}=$

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