Which expression is equivalent to (3^-6x3^3)^-1

To solve this expression, we can simplify the inner parentheses first by applying the exponent rule when raising a power to another power.

(3^-6x3^3)^-1 = (3^-18)^-1

Next, we can simplify further using the negative exponent rule which states that any number raised to a negative exponent is equal to 1 divided by that number raised to the positive exponent.

(3^-18)^-1 = 1 / 3^18

Therefore, the expression (3^-6x3^3)^-1 is equivalent to 1 / 3^18.