4. Simplify. Show all of your work. -9^{3/2}

Question

I know its -27 but i need to know the steps to take as I have to explain this in a discussion post

Answer 1

-9 ^ 3/2 = -1 * (3^2) ^ 3/2 = - 1 * 3 ^ ((2/1)*(3/2)) = -1 * 3 ^ (3/1) = - 27