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

Step 1. Write down the given information.

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

Step 2. Calculation.

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

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

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

Short Answer

Step by step solution

Step 1. Write down the given information.

Step 2. Calculation.

Step 3. Conclusion.

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Simplify(2x2)312x4 ?

Short Answer

Step by step solution

Step 1. Write down the given information.

Step 2. Calculation.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Theoretical and Mathematical Physics

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Probability and Statistics

Pure Maths

Study anywhere. Anytime. Across all devices.

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