Chapter 10: Q40. (page 528)

Simplify the expression ${(x^{\sqrt{5}})}^{\sqrt{3}}$ .

Short Answer

Expert verified

The simplified value of expression is $x^{\sqrt{15}}$ .

Step by step solution

Step 1. Write down the given expression.

The given expression is ${(x^{\sqrt{5}})}^{\sqrt{3}}$ .

Step 2. Simplify the expression.

The given expression ${(x^{\sqrt{5}})}^{\sqrt{3}}$ is simplified as:

$\begin{array}{l} {(x^{\sqrt{5}})}^{\sqrt{3}} = {(x)}^{\sqrt{5} \times \sqrt{3}} \\ = {(x)}^{\sqrt{15}} \\ = x^{\sqrt{15}} \end{array}$

Step 3. Conclusion.

The simplified value of expression is $x^{\sqrt{15}}$ .

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Simplify the expression ${(x^{\sqrt{5}})}^{\sqrt{3}}$ .

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 x53.

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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Most popular questions from this chapter

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Simplify the expression ${(x^{\sqrt{5}})}^{\sqrt{3}}$ .