91Ó°ÊÓ

In the following exercises, simplify.

$\left(a\right)\sqrt[3]{−8}\left(b\right)\sqrt[4]{−81}\left(c\right)\sqrt[5]{−32}$

In the following exercises, simplify.

(a) $-{64}^{\frac{3}{2}}$

(b) $-{64}^{-\frac{3}{2}}$

(c)${\left(-64\right)}^{\frac{3}{2}}$

In the following exercises, simplify.

(a) $c^{\frac{1}{4}}·c^{\frac{5}{8}}$

(b) ${\left(p^{12}\right)}^{\frac{3}{4}}$

(c)$\frac{r^{{\displaystyle \frac{4}{5}}}}{r^{{\displaystyle \frac{9}{5}}}}$

In the following exercises, simplify.

(a) $6^{\frac{5}{2}}·6^{\frac{1}{2}}$

(b) ${\left(b^{15}\right)}^{\frac{3}{5}}$

(c)$\frac{w^{{\displaystyle \frac{2}{7}}}}{w^{{\displaystyle \frac{9}{7}}}}$

In the following exercises, simplify:

Part (a):$y^{\frac{1}{2}}.y^{\frac{3}{4}}$

Part (b): ${\left(x^{12}\right)}^{\frac{2}{3}}$

Part (c):$\frac{m^{{\displaystyle \frac{5}{8}}}}{m^{{\displaystyle \frac{13}{8}}}}$

In the following exercises, simplify:

Part (a): $q^{\frac{2}{3}}.q^{\frac{5}{6}}$

Part (b): ${\left(h^6\right)}^{\frac{4}{3}}$

Part (c):$\frac{n^{{\displaystyle \frac{3}{5}}}}{n^{{\displaystyle \frac{8}{5}}}}$

In the following exercises, simplify:

Part (a): ${\left(27q^{\frac{3}{2}}\right)}^{\frac{4}{3}}$

Part (b): ${\left(a^{\frac{1}{3}}{b}^{\frac{2}{3}}\right)}^{\frac{3}{2}}$

In the following exercises, simplify:

Part (a):${\left(64s^{\frac{3}{7}}\right)}^{\frac{1}{6}}$

Part (b): ${\left(m^{\frac{4}{3}}{n}^{\frac{1}{2}}\right)}^{\frac{3}{4}}$

In the following exercises, simplify:

Part (a):${\left(16u^{\frac{1}{3}}\right)}^{\frac{3}{4}}$

Part (b):${\left(4p^{\frac{1}{3}}{q}^{\frac{1}{2}}\right)}^{\frac{3}{2}}$

In the following exercises,simplify
$$\begin{gathered} \left(a\right){(625n^{\frac{8}{3}})}^{\frac{3}{4}} \\ \left(b\right){(9x^{\frac{2}{5}}{y}^{\frac{3}{5}})}^{\frac{5}{2}} \end{gathered}$$