How do you simplify (\frac { y ^ { 3} } { x ^ { - 5} } ) ^ { - 9}?

1 Answer
Apr 12, 2017

Use exponent rules to simplify the expression

Explanation:

Remember that x^-1 = 1/(x^1)
So (y^3 / x^-5)^-9 = (x^-5/y^3)^9 = (x^-5)^9 / (y^3)^9
Since x^(a^b) = x^(a*b)
(x^-5)^9 / (y^3)^9 = (x^(-5*9)) / (y^(3*9)) = x^-45 / y^27