Question

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

Answer 1

`(11y^6)/8`

Explanation:

Given: `(44x^4y^2)/(32x^4y^-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`:

`(44cancel(x^4)y^2)/(32cancel(x^4)y^-4) = (11y^(2 --4))/8 = (11y^6)/8`