Q. 5.73 - Intermediate Algebra

Question

Find the quotient $\frac{28x^5{y}^{14}}{49x^9{y}^{12}}$

Step-by-Step Solution

Answer

The quotient is $\frac{4y^2}{7x^4}$

Step 1. Given information

$\frac{28x^5{y}^{14}}{49x^9{y}^{12}}$

Step 2. Divide the polynomial

Use the fraction multiplication

$\frac{28}{49}·\frac{x^5}{x^9}·\frac{y^{14}}{y^{12}}$

Simplify and use the quotient property

$\frac{4}{7}·\frac{1}{x^4}·\frac{y^2}{1}$

Multiply

$\frac{4y^2}{7x^4}$