Q8. - Algebra 2

Question

Simplify $\frac{-2a^3{b}^6}{18a^2{b}^2}$  assuming that no variable equal to 0 .

Step-by-Step Solution

Answer

The simplified value of expression is $-\frac{a{b}^4}{9}$ .

Step 1. Write down the given expression.

The given expression to simplify is $\frac{-2a^3{b}^6}{18a^2{b}^2}$ .

Step 2. Simplify the given expression.

Simplifying $\frac{-2a^3{b}^6}{18a^2{b}^2}$  gives,

$\begin{array}{c}\frac{-2a^3{b}^6}{18a^2{b}^2}=\frac{-\left(a^3{b}^6\right)}{9\left(a^2{b}^2\right)}\\ =-\frac{{\left(a\right)}^{3-2}{\left(b\right)}^{6-2}}{9}\mathrm{....}(\text{Using }\frac{x^a}{x^b}=x^{a-b})\\ =-\frac{{\left(a\right)}^1{\left(b\right)}^4}{9}\\ =-\frac{a{b}^4}{9}\end{array}$

Step 3. Conclusion.

The simplified value of expression is$-\frac{a{b}^4}{9}$  .