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Chapter 10: Q39. (page 528)

Simplify the expression ${(5^{\sqrt{2}})}^{\sqrt{8}}$ .

Short Answer

Expert verified

The simplified value of expression is625.

Step by step solution

Step 1. Write down the given expression.

The given expression is ${(5^{\sqrt{2}})}^{\sqrt{8}}$ .

Step 2. Simplify the expression.

The given expression ${(5^{\sqrt{2}})}^{\sqrt{8}}$ is simplified as:

$\begin{array}{l} {(5^{\sqrt{2}})}^{\sqrt{8}} = {(5)}^{\sqrt{2} 脳 \sqrt{8}} \\ = {(5)}^{\sqrt{16}} \\ = {(5)}^{4} \\ = 625 \end{array}$

Step 3. Conclusion.

The simplified value of expression is $625$ .

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Simplify the expression 528.

Short Answer

Step by step solution

Step 1. Write down the given expression.

Step 2. Simplify the expression.

Step 3. Conclusion.

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Simplify the expression ${(5^{\sqrt{2}})}^{\sqrt{8}}$ .