Write (8a−3)−23 in simplest form show work

To simplify (8a - 3)^-2/3, we can use the power rule for exponents, which states that (a^m)^n = a^(m*n).

First, let's simplify the exponent. The exponent -2/3 can be rewritten as 1/(2/3) = 3/2.

Now, we apply the power rule: (8a - 3)^(3/2) = (8a - 3)^(3*1/2) = (8a - 3)^(3/2)

Therefore, the simplified form of (8a-3)^-2/3 is (8a - 3)^(3/2).