Chapter 7, Problem 42CR

To determine

The solution of the given expression.

Answer to Problem 42CR

The solution of expression $\frac{w^2}{w^5}$ is $\frac{1}{w^3}$

Explanation of Solution

Given information:

The expression $\frac{w^2}{w^5}$

Concept and Formula Used:

The property $a^m÷a^n=a^{m-n},a^{-m}=\frac{1}{a^m}$

Calculation:

The given expression is $\frac{w^2}{w^5}$

Using the property $a^m÷a^n=a^{m-n}$

Therefore

  $\begin{array}{l}\frac{w^2}{w^5}=w^{2-5}\\ \frac{w^2}{w^5}=w^{-3}\end{array}$

Using the property $a^{-m}=\frac{1}{a^m}$

  $\frac{w^2}{w^5}=\frac{1}{w^3}$

Conclusion:

The solutionof expression $\frac{w^2}{w^5}$ is $\frac{1}{w^3}$