91Ó°ÊÓ

Write as a radical expression:

(a) $t^{\frac{1}{2}}$

(b) $m^{\frac{1}{3}}$

(c) $r^{\frac{1}{4}}$

Write as a radical expression:

(a) $b^{\frac{1}{6}}$

(b) $z^{\frac{1}{5}}$

(c) $p^{\frac{1}{4}}$

Write with a rational exponent:

(a)$\sqrt{10m}$

(b)$\sqrt[5]{3n}$

(c) $3\sqrt[4]{6y}$

Write with a rational exponent:

(a) $\sqrt[7]{3k}$

(b) $\sqrt[4]{5j}$

(c) $8\sqrt[3]{2a}$

Simplify::
(a)${100}^{\frac{1}{2}}$

(b)${27}^{\frac{1}{3}}$

(c) ${81}^{\frac{1}{4}}$

Simplify:

(a)${(-64)}^{-\frac{1}{2}}$

(b) ${-64}^{\frac{1}{2}}$

(c) ${\left(64\right)}^{-\frac{1}{2}}$

Write with a rational exponent:

(a)$\sqrt{x^5}$

(b)${\left(\sqrt[4]{3y}\right)}^3$

(c) $\sqrt{{\left(\frac{2m}{3n}\right)}^5}$

Simplify:$\left(a\right)\sqrt[3]{27}\left(b\right)\sqrt[4]{256}\left(c\right)\sqrt[5]{243}$

In the following exercises, simplify using absolute value signs as needed.

$$\begin{gathered} a.3+\sqrt{125} \\ b.\frac{15+\sqrt{75}}{5} \end{gathered}$$

Write with a rational exponent:

(a)$\sqrt[5]{a^2}$

(b)${\left(\sqrt[3]{5ab}\right)}^5$

(c) $\sqrt{{\left(\frac{7xy}{z}\right)}^3}$