Answer:
8/x^3
Explanation:
(2x^-1)^3
First, we must use the power-to-power rule to eliminate the double exponents. When a power is raised to a power, we must multiply them. This makes the exponent of x-3 and makes two into 8.
8x^-3
We can eliminate negative exponents by bringing their subject to the opposite side of the fraction line, so in this case, we bring down the x^-3 to the bottom, making it x^3. The final answer is:
8/x^3