Question

How do you simplify `(4ab^-2)/(-3c^-2)` and write it using only positive exponents?

Answer 1

`-(4ac^2)/(3b^2)`

Explanation:

Given: `(4ab^-2)/(-3c^-2)`

Use the exponent rules `x^(-n) = 1/x^n " and " 1/x^(-m) = x^m`

`(4ab^-2)/(-3c^-2) = (4a)/(-3b^2c^-2) = (4ac^2)/(-3b^2)`

Negative sign: `1/(-2) = (-1)/2 = -1/2`

`(4ac^2)/(-3b^2) = -(4ac^2)/(3b^2)`