Write 3(a/b^-2)^-3 in its simplest form
To simplify 3(a/b^-2)^-3, we first need to simplify the power of the exponent.
(b^-2)^-3 = b^6 (When a negative exponent is raised to another negative exponent, the signs cancel out.)
Therefore, the expression becomes 3(a/b^6).
Next, we can multiply the constant 3 with each term inside the parentheses:
3(a/b^6) = 3a/b^6
Therefore, 3(a/b^-2)^-3 in its simplest form is 3a/b^6.