Chapter 10: Q13. (page 528)

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

Short Answer

Expert verified

The simplified value of expression is $2^{2 \sqrt{7}}$ .

Step by step solution

Step 1. Write down the given expression.

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

Step 2. Simplify the expression.

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

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

Step 3. Conclusion.

The simplified value of expression is $2^{2 \sqrt{7}}$ .

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

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 27·27.

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 $2^{\sqrt{7}} \cdot 2^{\sqrt{7}}$ .