Q27. - Algebra 2

Question

Simplify the expression $\frac{xy}{a^3}÷{\left(\frac{xy}{ab}\right)}^3$.

Step-by-Step Solution

Answer

The simplified value of expression is $\frac{b^3}{x^2{y}^2}$.

Step 1. Write down the given expression.

The given expression is$\frac{xy}{a^3}÷{\left(\frac{xy}{ab}\right)}^3$.

Step 2. Simplify the expression.

The given expression $\frac{xy}{a^3}÷{\left(\frac{xy}{ab}\right)}^3$ is simplified as:

$\begin{array}{l}\frac{xy}{a^3}÷{\left(\frac{xy}{ab}\right)}^3=\frac{xy}{a^3}\times {\left(\frac{ab}{xy}\right)}^3\\ =\frac{xy}{a^3}\times \frac{a^3{b}^3}{x^3{y}^3}\\ =\frac{b^3}{x^2{y}^2}\end{array}$

Step 3. Conclusion.

The simplified value of expression is $\frac{b^3}{x^2{y}^2}$.