263 - Intermediate Algebra

Question

In the following exercises . Simplify the expression

Step-by-Step Solution

Answer

The simplified expression is $42m^5{n}^8$.

Step 1. Given Information

The given expression is $\left(6m^4{n}^3\right)\left(7m{n}^5\right)$.

Step 2. Simplify the given expression.

Simplify the expression $\left(6m^4{n}^3\right)\left(7m{n}^5\right)$

$$\begin{gathered} \left(6m^4{n}^3\right)\left(7m{n}^5\right)=6n^3·\hspace{0.17em}7m^{4+1}{n}^5 \\ 6n^3·\hspace{0.17em}7m^{4+1}{n}^5=6n^3·\hspace{0.17em}7m^5{n}^5 \\ 6n^3·\hspace{0.17em}7m^5{n}^5=6·\hspace{0.17em}7m^5{n}^{3+5} \\ 6·\hspace{0.17em}7m^5{n}^{3+5}=6·\hspace{0.17em}7m^5{n}^8 \\ 6·\hspace{0.17em}7m^5{n}^8=42m^5{n}^8 \end{gathered}$$