Chapter 9: Q11. (page 476)

Simplify the expression $\frac{\frac{c^{3} d^{3}}{a}}{\frac{x c^{2} d}{a x^{2}}}$ .

Short Answer

Expert verified

The simplified value of expression is $c d^{2} x$ .

Step by step solution

Step 1. Write down the given expression.

The given expression is $\frac{\frac{c^{3} d^{3}}{a}}{\frac{x c^{2} d}{a x^{2}}}$ .

Step 2. Simplify the expression.

The given expression $\frac{\frac{c^{3} d^{3}}{a}}{\frac{x c^{2} d}{a x^{2}}}$ is simplified as:

$\begin{array}{l} \frac{\frac{c^{3} d^{3}}{a}}{\frac{x c^{2} d}{a x^{2}}} = \frac{c^{3} d^{3}}{a} \times \frac{a x^{2}}{x c^{2} d} \\ = \frac{c^{3} d^{3} a x^{2}}{a x c^{2} d} \\ = a^{1 - 1} c^{3 - 2} d^{3 - 1} x^{2 - 1} \\ = a^{0} c^{1} d^{2} x^{1} \\ = c d^{2} x \end{array}$

Step 3. Conclusion.

The simplified value of expression is $c d^{2} x$ .

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Simplify the expression $\frac{\frac{c^{3} d^{3}}{a}}{\frac{x c^{2} d}{a x^{2}}}$ .

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 c3d3axc2dax2.

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 $\frac{\frac{c^{3} d^{3}}{a}}{\frac{x c^{2} d}{a x^{2}}}$ .