(-2x^-3)^0/4x^0
To solve this expression, we'll break it down step by step.
Step 1: Simplify the expression inside the parentheses.
(-2x^-3) = -2 / x^3
Step 2: Raise the simplified expression to the power of 0.
(-2 / x^3)^0 = 1
Step 3: Simplify the expression on the right side of the fraction.
4x^0 = 4
So, putting it all together, the final answer is 1/4.