Question

Simplify this: (-3x^-2)^-3

Answer 1

I believe that the answer is -27x^6

Answer 2

How?

Answer 3

(x)^-n = 1/x^n

so in this ex.
(-3x^-2)^-3 = (1/-3x^2)^-3 = 1/1/(-3x^2)^3 = 1/1/-27x^6
inverting the fraction and mult.
-27x^6

Answer 4

$$(-3x^{-2})^{-3} = (\frac{1}{-3x^2})^{-3} = \frac{1}{\frac{1}{(-3x^2)^3}} = \frac{1}{\frac{1}{-27x^6}} =-27x^6$$

Answer 5

Thanks!