Chapter 10: Q42. (page 528)

Simplify the expression $y^{3 \sqrt{3}} \div y^{\sqrt{3}}$ .

Short Answer

Expert verified

The simplified value of expression is $y^{2 \sqrt{3}}$ .

Step by step solution

Step 1. Write down the given expression.

The given expression is $y^{3 \sqrt{3}} \div y^{\sqrt{3}}$ .

Step 2. Simplify the expression.

The given expression $y^{3 \sqrt{3}} \div y^{\sqrt{3}}$ is simplified as:

$\begin{array}{l} y^{3 \sqrt{3}} \div y^{\sqrt{3}} = \frac{y^{3 \sqrt{3}}}{y^{\sqrt{3}}} \\ = {(y)}^{3 \sqrt{3} - \sqrt{3}} \\ = y^{2 \sqrt{3}} \end{array}$

Step 3. Conclusion.

The simplified value of expression is $y^{2 \sqrt{3}}$ .

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Simplify the expression $y^{3 \sqrt{3}} \div y^{\sqrt{3}}$ .

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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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 $y^{3 \sqrt{3}} \div y^{\sqrt{3}}$ .