Question

Simplify$\left(a^3{b}^3\right){\left(ab\right)}^{-2}$ assuming that no variable equal to0.

Short answer

The simplified value of expression is ab.

Step-by-step solution

Step 1. Write down the given expression.

The given expression to simplify is $\left(a^3{b}^3\right){\left(ab\right)}^{-2}$.

Step 2. Simplify the given expression.

Simplifying $\left(a^3{b}^3\right){\left(ab\right)}^{-2}$ gives,

$\begin{array}{c}\left(a^3{b}^3\right){\left(ab\right)}^{-2}={\left(ab\right)}^3{\left(ab\right)}^{-2}\\ ={\left(ab\right)}^{3-2}\mathrm{....}(\text{Using}{x}^a\times x^b=x^{a+b})\\ =ab\end{array}$

Step 3. Conclusion.

The simplified value of expression is ab .