Answer Key 9.6

Terrance Berg

Answer Key 9.6

$\sqrt[5]{m^{3}}$
$\frac{1}{\sqrt[4]{(10 r)^{3}}}$
$\sqrt{(7 x)^{3}}$
$\frac{1}{\sqrt[3]{(6 b)^{4}}}$
$\frac{1}{\sqrt{(2 x + 3)^{3}}}$
$\sqrt[4]{(x - 3 y)^{3}}$
$5^{\frac{1}{3}}$
$2^{\frac{3}{5}}$
$(a b^{5})^{\frac{1}{3}}$ or $a^{\frac{1}{3}} b^{\frac{5}{3}}$
$x^{\frac{3}{5}}$
$(a + 5)^{\frac{2}{3}}$
$(a - 2)^{\frac{3}{5}}$
$8^{\frac{2}{3}} \Rightarrow (2^{3})^{\frac{2}{3}} \Rightarrow 2^{2} or 4$
$16^{\frac{1}{4}} \Rightarrow (2^{4})^{\frac{1}{4}} \Rightarrow 2$
$\sqrt[3]{4^{6}} \Rightarrow (2^{2})^{\frac{6}{3}} \Rightarrow 2^{4} or 16$
$\sqrt[5]{32^{2}} \Rightarrow (2^{5})^{\frac{2}{5}} \Rightarrow 2^{2} or 4$
$x^{2} y^{\frac{1}{3} + \frac{2}{3}} \Rightarrow x^{2} y$
$4 v^{\frac{2}{3} - 1} \Rightarrow 4 v^{- \frac{1}{3}} or \frac{4}{v^{\frac{1}{3}}}$
$Math input error$
1
$\frac{a^{2} b^{0} 1}{3 a^{4} a^{2}} \Rightarrow \frac{1}{3 a^{2}}$
$\frac{2 x^{\frac{1}{2}} y^{\frac{1}{3}}}{2 x^{\frac{4}{3}} y^{\frac{7}{4}}} \Rightarrow x^{\frac{1}{2} - \frac{4}{3}} y^{\frac{1}{3} - \frac{7}{4}} \Rightarrow x^{- \frac{5}{6}} y^{- \frac{17}{12}} \Rightarrow \frac{1}{x^{\frac{5}{6}} y^{\frac{17}{12}}}$
$\frac{a^{\frac{3}{4}} b^{- 1} b^{\frac{7}{4}}}{3 b^{- 1}} \Rightarrow \frac{a^{\frac{3}{4}} b^{\frac{7}{4}}}{3}$
$2 x^{- 2 + \frac{5}{4} - 1} y^{\frac{5}{3} + \frac{5}{3} - \frac{1}{2}} \Rightarrow 2 x^{- \frac{7}{4}} y^{\frac{17}{6}} \Rightarrow \frac{2 y^{\frac{17}{6}}}{x^{\frac{7}{4}}}$
$\frac{3}{2} y^{- \frac{5}{4} - - 1 - - \frac{1}{3}} \Rightarrow \frac{3}{2} y^{\frac{1}{12}}$
$\frac{a b^{\frac{1}{3}} 2 b^{- \frac{5}{4}}}{42 a^{- \frac{1}{2}} b^{- \frac{2}{3}}} \Rightarrow \frac{1}{2} a^{1 - - \frac{1}{2}} b^{\frac{1}{3} - \frac{5}{4} - - \frac{2}{3}} \Rightarrow \frac{1}{2} a^{\frac{3}{2}} b^{- \frac{1}{4}} \Rightarrow \frac{a^{\frac{3}{2}}}{2 b^{\frac{1}{4}}}$

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Intermediate Algebra (Convert to MathJax) Copyright © 2020 by Terrance Berg is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License, except where otherwise noted.

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