Simplify.
-(3ab^2)^-3
The negative exponent means that we need to take the reciprocal of the expression raised to the positive exponent. So:
-(3ab^2)^-3
= -1/(3ab^2)^3
= -1/(27a^3b^6)
Final answer: -1/(27a^3b^6)
To simplify the expression -(3ab^2)^-3, we can follow these steps:
Step 1: Take the reciprocal of the base.
Reciprocal of 3ab^2 is 1/(3ab^2).
Step 2: Apply the exponent to the reciprocal.
To apply the exponent -3 to the reciprocal, we can rewrite it as (1/(3ab^2))^-3.
Step 3: Apply the negative exponent to the reciprocal.
Applying the negative exponent -3 to the reciprocal (1/(3ab^2)) gives us (3ab^2)^3.
So, -(3ab^2)^-3 simplifies to (3ab^2)^3.