Chapter 7, Problem 26CR

To determine

The solution of the given expression.

Answer to Problem 26CR

The solution of expression $\left(s^{\frac{3}{5}}\right)\left(s^{\frac{2}{3}}\right)$ is $s^{\frac{19}{15}}$

Explanation of Solution

Given information:

The expression $\left(s^{\frac{3}{5}}\right)\left(s^{\frac{2}{3}}\right)$

Concept and Formula Used:

The property $a^m\times a^n=a^{m+n}$

Commutative and associative property of multiplication.

Calculation:

The given expression is $\left(s^{\frac{3}{5}}\right)\left(s^{\frac{2}{3}}\right)$

Using the property $a^m\times a^n=a^{m+n}$

Therefore

  $\begin{array}{l}\left(s^{\frac{3}{5}}\right)\left(s^{\frac{2}{3}}\right)=\left(s^{\frac{3}{5}+\frac{2}{3}}\right)\\ \left(s^{\frac{3}{5}}\right)\left(s^{\frac{2}{3}}\right)=s^{\frac{9+10}{15}}\\ \left(s^{\frac{3}{5}}\right)\left(s^{\frac{2}{3}}\right)=s^{\frac{19}{15}}\end{array}$

Conclusion:

The solutionof expression $\left(s^{\frac{3}{5}}\right)\left(s^{\frac{2}{3}}\right)$ is $s^{\frac{19}{15}}$