What is the simplest form of this expression? (x^-3)^1/3

The simplest form is, x-1 

The answer is 1/x.

First, multiply the powers together.
-3• 1/3
-3/3
-1

So place that over your base of x, you get, x^-1.

Simplify this further by following the negative exponent rule, move the expression to the denominator.

Your answer is positive and in simplest form.
1/x