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Chapter 9: Q16. (page 476)

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

Short Answer

Expert verified

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

Step by step solution

01

Step 1. Write down the given expression.

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

02

Step 2. Simplify the expression.

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

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

03

Step 3. Conclusion.

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

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