Answer:To simplify the expression, we can start by applying the power rules:
(8a^3/27x^-3)^-2/3 = ((8a^3)/(27x^-3))^(-2/3)
= (8a^3/27x^-3)^(-1/3)(-2)
= ((8a^3/27x^-3)^(-1/3))^2
= ((27x^-3)/(8a^3))^(1/3))^2
= (3x/(2a))^2
= (9x^2)/(4a^2)
So the simplified expression is (9x^2)/(4a^2).
Step-by-step explanation:
