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(28A) Rational exponents


Evaluate. Give your answers as fractions.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Evaluate. Give your answers as fractions.

$\left(\frac{1}{64}\right)^{-\frac{2}{3}}=$
$\left(\frac{64}{729}\right)^{-\frac{1}{3}}=$
$\left(\frac{1}{1000}\right)^{\frac{1}{3}}=$

$\left(\frac{49}{64}\right)^{\frac{1}{2}}=$
$\left(\frac{25}{9}\right)^{-\frac{1}{2}}=$
$\left(\frac{729}{125}\right)^{-\frac{2}{3}}=$

$\left(\frac{729}{8}\right)^{\frac{1}{3}}=$
$\left(\frac{25}{81}\right)^{-\frac{1}{2}}=$
$\left(\frac{8}{343}\right)^{-\frac{1}{3}}=$

$\left(\frac{25}{64}\right)^{\frac{1}{2}}=$
$\left(\frac{1}{343}\right)^{\frac{2}{3}}=$
$\left(\frac{125}{8}\right)^{-\frac{2}{3}}=$

$\left(\frac{64}{125}\right)^{-\frac{1}{3}}=$
$\left(\frac{1}{729}\right)^{\frac{2}{3}}=$
$\left(\frac{343}{8}\right)^{-\frac{1}{3}}=$

$\left(\frac{1}{32}\right)^{\frac{4}{5}}=$
$\left(\frac{49}{81}\right)^{\frac{1}{2}}=$
$\left(\frac{1}{216}\right)^{-\frac{1}{3}}=$

$\left(\frac{1}{25}\right)^{-\frac{1}{2}}=$
$\left(\frac{1}{729}\right)^{-\frac{2}{3}}=$
$\left(\frac{64}{25}\right)^{\frac{1}{2}}=$

Exercises

(28A on P.567) #1-2 all; #3cdg, #4 all