Q. 292 - Intermediate Algebra

Question

In the following exercises, divide the monomials.

$\frac{\left(10m^5{n}^4\right)\left(5m^3{n}^6\right)}{25m^7{n}^5}$

Step-by-Step Solution

Answer

The required solution is $2m{n}^3$.

Step 1. Given Information

Given expression: $\frac{\left(10m^5{n}^4\right)\left(5m^3{n}^6\right)}{25m^7{n}^5}$

Step 2. Calculation

We have the expression,

$\frac{\left(10m^5{n}^4\right)\left(5m^3{n}^6\right)}{25m^7{n}^5}$

$=\frac{50m^8{n}^{10}}{25m^7{n}^5}$           perform multiplication in the numerator

$=\frac{50}{25}·\frac{m^8}{m^7}·\frac{n^{10}}{n^7}$     use fraction multiplication

$=2·m·n^3$               simplify and use the quotient property

$=2m{n}^3$                 multiply