How do you simplify (44x^4y^2)/(32x^4y^-4)?

Jul 8, 2018

$\frac{11 {y}^{6}}{8}$

Explanation:

Given: $\frac{44 {x}^{4} {y}^{2}}{32 {x}^{4} {y}^{-} 4}$

Use the exponent rules: x^m/x^n = x^(m-n); " "1/a^-n = a^n

Divide both the numerator and denominator by $4$:

$\frac{44 \cancel{{x}^{4}} {y}^{2}}{32 \cancel{{x}^{4}} {y}^{-} 4} = \frac{11 {y}^{2 - - 4}}{8} = \frac{11 {y}^{6}}{8}$