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Chapter 5: Q22. (page 226)

Simplify ${(2 x)}^{4}$ assuming that no variable equal to 0 .

Short Answer

Expert verified

The simplified value of expression is $16 x^{4}$ .

Step by step solution

01

Step 1. Write down the given expression.

The given expressiomn to simplify is ${(2 x)}^{4}$ .

02

Step 2. Simplify the given expression.

Simplifying ${(2 x)}^{4}$ gives,

$\begin{matrix} {(2 x)}^{4} = {(2)}^{4} {(x)}^{4} .... (Using {(x y)}^{b} = x^{b} y^{b}) \\ = (16) (x^{4}) \\ = 16 x^{4} \end{matrix}$

03

Step 3. Conclusion.

The simplified value of expression is $16 x^{4}$ .

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