91Ó°ÊÓ

In the following exercises, simplify.

Part (a):${\left(-32\right)}^{\frac{1}{5}}$

Part (b):${\left(243\right)}^{-\frac{1}{5}}$

Part (c):$-{125}^{\frac{1}{3}}$

In the following exercises, write with a rational exponent.

Part (a): $\sqrt{m^5}$

Part (b):${\left(\sqrt[3]{3y}\right)}^7$

Part (c):$\sqrt[5]{{\left(\frac{4x}{5y}\right)}^3}$

In the following exercises, write with a rational exponent.

Part (a):$\sqrt[4]{r^7}$

Part (b): ${\left(\sqrt[5]{2pq}\right)}^3$

Part (c):$\sqrt[4]{{\left(\frac{12m}{7n}\right)}^3}$

In the following exercises, write with a rational exponent.

$$\begin{gathered} \left(a\right)\sqrt[5]{u^2} \\ \left(b\right)\left(\sqrt[3]{6x}{)}^5 \\ \right(c)\sqrt[4]{{\left(\frac{18a}{5b}\right)}^7} \end{gathered}$$

In the following exercises, write with a rational exponent.

$$\begin{gathered} \left(a\right)\sqrt[3]{a} \\ \left(b\right)\left(\sqrt[4]{21v}{)}^3 \\ \right(c)\sqrt[4]{{\left(\frac{2xy}{5z}\right)}^2} \end{gathered}$$

In the following exercises, simplify.

(a) ${64}^{\frac{5}{2}}$

(b) ${81}^{\frac{-3}{2}}$

(c)${\left(-27\right)}^{\frac{2}{3}}$

In the following exercises, simplify.

(a) ${25}^{\frac{3}{2}}$

(b) $9^{\frac{-3}{2}}$

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

In the following exercises, simplify.

(a) ${32}^{\frac{2}{5}}$

(b) role="math" localid="1644741549807" ${27}^{-\frac{2}{3}}$

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

In the following exercises, simplify.

(a)${100}^{\frac{3}{2}}$

(b)${49}^{-\frac{5}{2}}$

(c)${\left(-100\right)}^{\frac{3}{2}}$

In the following exercises, simplify.

(a) $-9^{\frac{3}{2}}$

(b) $-9^{-\frac{3}{2}}$

(c)${\left(-9\right)}^{\frac{3}{2}}$