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Chapter 5: Q64. (page 228)

Simplify $\frac{{(2 x^{2})}^{3}}{12 x^{4}}$ ?

Short Answer

Expert verified

The simplified value of expression $\frac{{(2 x^{2})}^{3}}{12 x^{4}} = \frac{2 x^{2}}{3}$ .

Step by step solution

01

Step 1. Write down the given information.

The given expression is $\frac{{(2 x^{2})}^{3}}{12 x^{4}}$ .

02

Step 2. Calculation.

Simplifying the given expression $\frac{{(2 x^{2})}^{3}}{12 x^{4}}$ .

$\begin{matrix} \frac{{(2 x^{2})}^{3}}{12 x^{4}} = \frac{{(2)}^{3} {(x^{2})}^{3}}{12 x^{4}} \\ = \frac{8 x^{6}}{12 x^{4}} \\ = \frac{8 x^{6 鈭� 4}}{12} \\ = \frac{2 x^{2}}{3} \end{matrix}$

03

Step 3. Conclusion.

The simplified value of expression $\frac{{(2 x^{2})}^{3}}{12 x^{4}} = \frac{2 x^{2}}{3}$ .

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