Question

Simplify the expression $\frac{{\left(-3x^{2}y\right)}^3}{9x^2{y}^2}$.

Short answer

The simplified value of expression is $-3x^{4}y$.

Step-by-step solution

Step 1. Write down the given expression.

The given expression is $\frac{{\left(-3x^{2}y\right)}^3}{9x^2{y}^2}$.

Step 2. Simplify the expression.

The given expression $\frac{{\left(-3x^{2}y\right)}^3}{9x^2{y}^2}$is simplified as:

$\begin{array}{l}\frac{{\left(-3x^{2}y\right)}^3}{9x^2{y}^2}=-\frac{27x^6{y}^3}{9x^2{y}^2}\\ =-\frac{3x^6{y}^3}{x^2{y}^2}\\ =-3x^{6-2}{y}^{3-2}\\ =-3x^{4}y\end{array}$

Step 3. Conclusion.

The simplified value of expression is$-3x^{4}y$