How do you simplify (1/h^-2)^-1*h^3?

2 Answers

h

Explanation:

Given that

(1/h^{-2})^{-1}\cdot h^3

=(h^{-2})^{1}\cdot h^3

=h^{-2}\cdot h^3

=h^{-2+3}

=h

Jul 9, 2018

h

Explanation:

Given: (1/h^-2)^-1 * h^3

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

(x^m)^n = x^(m*n); " "x^nx^m = x^(n+m)

(1/h^-2)^-1 * h^3 = (h^2)^-1 * h^3 = h^-2 * h^3

h^(-2 + 3) = h^1 = h