Question

Simplify (2a^-3b^2)^3

6b^6/ a9
8b^6/ a^9
6b^5
8b

Answer 1

`(2a^(-3)b^2)^3 \\ \\ = 2a^(-9)b^6 \\ \\ = { (b^6)/(2a^9) }`

`If\ your\ question\ mean\ (2a^(-3)12b^2)^3 \\ \\ \\ \\ (2a^(-3)12b^2)^3 \\ \\ =2a^(-9)12b^6 \\ \\ ={ (12b^6)/(2a^9) } \\ \\ ={ (6b^6)/(a^9) }`

Answer 2

I'm going to assume that you accidentally missed a set of parentheses and that the expression is
`(2a^(-3) b^(2))^3`
Raise 2,
`a^(-3)`, and
`b^2` to the third power:

`2^3(a^(-3))^3(b^2)^3`
When a variable raised to a power is raised to another power, the exponents are multiplied:

`8a^(-9)b^(6)`
Negative powers are the positive power in the denominator:

`(8b^6)/(a^(9))`
Therefore, the answer is the second option.