Question

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

Short answer

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:

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

Step 3. Conclusion.

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