Q. 5.74 - Intermediate Algebra

Question

Find the quotient $\frac{30m^5{n}^{11}}{48m^{10}{n}^{14}}$

Step-by-Step Solution

Answer

The quotient is $\frac{5}{8m^5{n}^3}$ 

Step 1. Given information

$\frac{30m^5{n}^{11}}{48m^{10}{n}^{14}}$

Step 2. Divide the polynomial

Use the fraction multiplication

$\frac{30}{48}·\frac{m^5}{m^{10}}·\frac{n^{11}}{n^{14}}$

Simplify and use the quotient property.

$\frac{5}{8}·\frac{1}{m^5}·\frac{1}{n^3}$

Multiply

$\frac{5}{8m^5{n}^3}$