91Ó°ÊÓ

In the following exercises, simplify

$$\begin{gathered} \left(a\right){256}^{\frac{1}{4}} \\ \left(b\right){243}^{\frac{1}{5}} \end{gathered}$$

In the following exercises, simplify

${49}^{\frac{3}{2}}$

In the following exercises, simplify

${25}^{-\frac{5}{2}}$

In the following exercises, simplify

$\frac{w^{{\displaystyle \frac{3}{4}}}}{w^{{\displaystyle \frac{7}{4}}}}$

In the following exercises, simplify

${\left(27s^{\frac{3}{5}}\right)}^{\frac{1}{3}}$

In the following exercises, rationalize the denominator.

$\frac{3}{2\sqrt{6}}$

In the following exercises, rationalize the denominator.

$\frac{\sqrt{3}}{\sqrt{x}+\sqrt{5}}$

In the following exercises, solve.

$3\sqrt{2x-3}-20=7$

In the following exercises, solve.

$\sqrt{3u-2}=\sqrt{5u+1}$

A helicopter flying at an

altitude of $600$feet dropped a

package to a lifeboat. Use the

formula $t=\frac{\sqrt{h}}{4}$to find how many

seconds it took for the package to

reach the hiker. Round your

answer to the nearest tenth of a

second.