Q. 291 - Intermediate Algebra

Question

In the following exercises, divide the monomials.

$\frac{45x^5{y}^9}{-60x^8{y}^6}$

Step-by-Step Solution

Answer

The required solution is $-\frac{3y^3}{4x^3}$.

Step 1. Given Information

Given expression: $\frac{45x^5{y}^9}{-60x^8{y}^6}$

Step 2. Calculation

We have the expression,

$\frac{45x^5{y}^9}{-60x^8{y}^6}$

$=\frac{45}{-60}·\frac{x^5}{x^8}·\frac{y^9}{y^6}$           use fraction multiplication

$=\frac{3}{-4}·\frac{1}{x^3}·y^3$               simplify and use the quotient property

$=-\frac{3y^3}{4x^3}$               multiply