Q11. - Algebra 2

Question

Simplify  ${\left(\frac{cd}{3}\right)}^{-2}$ assuming that no variable equal to 0 .

Step-by-Step Solution

Answer

The simplified value of expression is $\frac{9}{c^2{d}^2}$ .

Step 1. Write down the given expression.

The given expression to simplify is ${\left(\frac{cd}{3}\right)}^{-2}$ .

Step 2. Simplify the given expression.

Simplifying  ${\left(\frac{cd}{3}\right)}^{-2}$ gives,

$\begin{array}{c}{\left(\frac{cd}{3}\right)}^{-2}={\left(\frac{3}{cd}\right)}^2\\ =\frac{9}{c^2{d}^2}\end{array}$

Step 3. Conclusion.

The simplified value of expression is $\frac{9}{c^2{d}^2}$ .