Simplify the expression. (81x^12/3x^3) 1/3 Enter your answer in the box.

3 x^3

Step-by-step explanation:

(81x^12/3x^3) ^1/3

First step is to simplify inside the parenthesis

(81/3 * x^12/x^3) ^ 1/3

When we divide bases with the same exponent, we subtract the exponents

(27 x^ (12-3) ^ 1/3

(27x^9) ^ 1/3

27 ^ 1/3 x^9 ^1/3

Power to the power rule says multiply

27 ^ 1/3 x^9 * 1/3

27^1/3 x^3

3 x^3

3x^3 is the right answer