291. - Intermediate Algebra

Question

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

Step-by-Step Solution

Answer

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

Step 1

Rewrite as a fraction and use fraction multiplication.

$=\left(\frac{45}{-60}\right). \frac{x^5}{x^8}. \frac{y^9}{y^6}$

Step 2

Use the quotient property to simplify

.=$\frac{-3}{4}.\frac{1}{x^3}. y^3$

Step 3

Multiply the results to get the answer.

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