Radicals & Rational Exponents

Rewrite in exponential form.

 $\left(\sqrt{7b}\right)^3$  

•  $\left(7b\right)^{\frac{3}{1}}$  

•  $7b^{\frac{3}{2}}$  

•  $\left(7b\right)^{\frac{1}{2}}$  

•  $\left(7b\right)^{\frac{3}{2}}$  

Rewrite in exponential form.

 $\ ^{\ ^3\sqrt{v}}$  

•  $v^{-\frac{1}{3}}$  

•  $v^{\frac{1}{3}}$  

•  $\frac{1}{v^3}$  

•  $v^{\frac{3}{1}}$  

Rewrite in exponential form.

 $\sqrt{3r}$  

•  $3r^{\frac{1}{2}}$  

•  $\left(3r\right)^{\frac{2}{1}}$  

•  $r^{\frac{3}{2}}$  

•  $\left(3r\right)^{\frac{1}{2}}$  

Rewrite in exponential form.

 $\left(\ ^4\sqrt{10v}\right)^5$  

•  $10v^{\frac{5}{4}}$  

•  $\left(10v\right)^{\frac{4}{5}}$  

•  $10v^{\frac{4}{5}}$  

•  $\left(10v\right)^{\frac{5}{4}}$  

Rewrite in radical form.

 $a^{\frac{2}{3}}$  

•  $\left(\sqrt{a^2}\right)^3$  

•  $\ \sqrt{a^3}$  

•  $\ ^3\sqrt{a^2}$  

•  $\ ^3\sqrt{\sqrt{a}}$  

Rewrite in radical form.

 $\left(10p\right)^{\frac{3}{4}}$  

•  $\left(\ ^4\sqrt{10p}\right)^3$  

•  $\ ^4\sqrt{10p^3}$  

•  $\left(\ ^3\sqrt{10p}\right)^4$  

•  $\ ^3\sqrt{\left(10p\right)^4}$  

Rewrite in radical form.

 $a^{\frac{2}{3}}$  

•  $\sqrt{3a}$  

•  $\sqrt{\frac{2}{3}a}$  

•  $\ ^3\sqrt{a^2}$  

•  $\sqrt{a^3}$  

Rewrite in radical form.

 $\left(3n\right)^{\frac{1}{2}}$  

•  $\sqrt{3n}$  

•  $\ ^3\sqrt{n}$  

•  $\left(\ ^1\sqrt{3n}\right)^2$  

•  $3\sqrt{n}$  

Rewrite in radical form.

 $\left(2a\right)^{\frac{5}{6}}$  

•  $\ ^6\sqrt{2a^5}$  

•  $\ ^6\sqrt{\left(2a\right)^5}$  

•  $\ ^5\sqrt{2a^6}$  

•  $\ ^5\sqrt{\left(2a\right)^6}$  

 $\left(-\frac{1}{2}\right)^0$  

Simplify.

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