Q. 262 - Intermediate Algebra

Question

In the following exercises , simplify the expression $\left(4a^{3}b\right)\left(9a^2{b}^6\right)$.

Step-by-Step Solution

Answer

The simplified expression is $36a^5{b}^7$.

Step 1. Given Information .

The given expression is $\left(4a^{3}b\right)\left(9a^2{b}^6\right)$ .

Step 2. Simplify the given expression.

Simplify the expression $\left(4a^{3}b\right)\left(9a^2{b}^6\right)$.

$\begin{array}{rcl}\left(4a^{3}b\right)\left(9a^2{b}^6\right)& =& 4b·\hspace{0.17em}9a^{3+2}{b}^6\\ 4b·\hspace{0.17em}9a^{3+2}{b}^6 & =& 4·\hspace{0.17em}9a^5{b}^{1+6}\\ 4·\hspace{0.17em}9a^5{b}^{1+6}& =& 4·\hspace{0.17em}9a^5{b}^7\\ 4·\hspace{0.17em}9a^5{b}^7& =& 36a^5{b}^7\end{array}$