First, simplify the expression inside the parentheses:
(-2a^2/b^3)^3 = (-8a^6/b^9)(b^2/-a^4)^4 = (b^8/a^16)
Now multiply the two simplified expressions together:
(-8a^6/b^9) * (b^8/a^16)
= -8 a^6 b^8 / b^9 a^16= -8 a^6 * a^2 / b^1= -8a^8 / b
Therefore, the final answer is -8a^8/b.
First, simplify the expression inside the parentheses:
(-2a^2/b^3)^3 = (-8a^6/b^9)
(b^2/-a^4)^4 = (b^8/a^16)
Now multiply the two simplified expressions together:
(-8a^6/b^9) * (b^8/a^16)
= -8 a^6 b^8 / b^9 a^16
= -8 a^6 * a^2 / b^1
= -8a^8 / b
Therefore, the final answer is -8a^8/b.