Chapter 7.5, Problem 13P

Write each expression in radical form.

${81}^{\frac{2}{3}}$

To determine

To write the given expression in radical form.

Answer to Problem 13P

  $81s^{\frac{2}{3}}=81\sqrt[3]{s^2}$

Explanation of Solution

Given:

  $81s^{\frac{2}{3}}$

Calculation:

The solution can be obtained as:

  $\begin{array}{l}81s^{\frac{2}{3}}=81\cdot s^{2\times \frac{1}{3}}\\ =81{\left(s^2\right)}^{\frac{1}{3}}\\ =81\sqrt[3]{s^2}\end{array}$