Q. 263 - Intermediate Algebra

Question

In the following exercises, simplify the equation $\hspace{0.17em}\left(6m^4{n}^3\right)\left(7m{n}^5\right)$.

Step-by-Step Solution

Answer

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

Step 1. Given Information.

The expression is $\hspace{0.17em}\left(6m^4{n}^3\right)\left(7m{n}^5\right)$.

Step 2. Simplify given equation.

Simplifying $\hspace{0.17em}\left(6m^4{n}^3\right)\left(7m{n}^5\right)$

Apply exponent rule , we get:-

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