Q7. - Algebra 2

Question

Simplify the expression $\frac{2a^2}{5b^{2}c}·\frac{3b{c}^2}{8a^2}$.

Step-by-Step Solution

Answer

The simplified value of expression is $\frac{3c}{20b}$.

Step 1. Write down the given expression.

The given expression is $\frac{2a^2}{5b^{2}c}·\frac{3b{c}^2}{8a^2}$.

Step 2. Simplify the expression.

The given expression $\frac{2a^2}{5b^{2}c}·\frac{3b{c}^2}{8a^2}$ is simplified as:

$\begin{array}{l}\frac{2a^2}{5b^{2}c}\cdot \frac{3b{c}^2}{8a^2}=\frac{6a^{2}b{c}^2}{40a^2{b}^{2}c}\\ =\frac{3\left(a^{2-2}{b}^{1-2}{c}^{2-1}\right)}{20}\\ =\frac{3\left(a^0{b}^{-1}{c}^1\right)}{20}\\ =\frac{3c}{20b}\end{array}$

Step 3. Conclusion.

The simplified value of expression is $\frac{3c}{20b}$.