Q10. - Algebra 2

Question

Simplify  ${\left(\frac{1}{w^4{z}^2}\right)}^3$ assuming that no variable equal to 0 .

Step-by-Step Solution

Answer

The simplified value of expression is$\frac{1}{w^{12}{z}^6}$  .

Step 1. Write down the given expression.

The given expression to simplify is ${\left(\frac{1}{w^4{z}^2}\right)}^3$ .

Step 2. Simplify the given expression.

Simplifying  ${\left(\frac{1}{w^4{z}^2}\right)}^3$ gives,

$\begin{array}{c}{\left(\frac{1}{w^4{z}^2}\right)}^3=\frac{{\left(1\right)}^3}{{\left(w^4{z}^2\right)}^3}\\ =\frac{1}{w^{12}{z}^6}\end{array}$

Step 3. Conclusion.

The simplified value of expression is $\frac{1}{w^{12}{z}^6}$ .