Chapter 10: Q41. (page 528)

Simplify the expression $7^{\sqrt{2}} \cdot 7^{3 \sqrt{2}}$ .

Short Answer

Expert verified

The simplified value of expression is $2401^{\sqrt{2}}$ .

Step by step solution

Step 1. Write down the given expression.

The given expression is $7^{\sqrt{2}} \cdot 7^{3 \sqrt{2}}$ .

Step 2. Simplify the expression.

The given expression $7^{\sqrt{2}} \cdot 7^{3 \sqrt{2}}$ is simplified as:

$\begin{array}{l} 7^{\sqrt{2}} \cdot 7^{3 \sqrt{2}} = {(7)}^{\sqrt{2}} \cdot {(7)}^{3 \sqrt{2}} \\ = {(7)}^{4 \sqrt{2}} \\ = {(7^{4})}^{\sqrt{2}} \\ = 2401^{\sqrt{2}} \end{array}$

Step 3. Conclusion.

The simplified value of expression is $2401^{\sqrt{2}}$ .

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Simplify the expression $7^{\sqrt{2}} \cdot 7^{3 \sqrt{2}}$ .

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 72·732.

Short Answer

Step by step solution

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Simplify the expression $7^{\sqrt{2}} \cdot 7^{3 \sqrt{2}}$ .