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Exponent Laws

Practice

Evaluate. Give your answers as fractions.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Evaluate. Give your answers as fractions.

$\left(\frac{27}{343}\right)^{\frac{2}{3}}=$

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

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

$\left(\frac{1}{36}\right)^{\frac{1}{2}}=$

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

$\left(\frac{1}{8}\right)^{-\frac{2}{3}}=$

$\left(\frac{1}{16}\right)^{\frac{3}{4}}=$

$\left(\frac{1}{32}\right)^{-\frac{4}{5}}=$

$\left(\frac{343}{729}\right)^{-\frac{1}{3}}=$

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

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

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

$\left(\frac{125}{8}\right)^{\frac{2}{3}}=$

$\left(\frac{343}{8}\right)^{\frac{2}{3}}=$

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

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

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

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

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

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

$\left(\frac{27}{512}\right)^{\frac{2}{3}}=$