Did I simplify this expression correctly?

Question

Did I simplify this expression correctly?

Does

(5z^3/2a^2)^-3 * (8a^-1/15z^-2)^-3 = 6a^3/50z^3

or do I have to go back to the drawing board?

I re-did it again and got what I think is the right answer. It's similar to the first responder's answer but the last exponent is 15 instead of what you put. I got 27a^9/64z^15. I'll double check to see if it's right.

Answer 1

(5z^3/(2a^2))^-3 * (8a^-1/(15z^-2))^-3
= 5^(-3)z^(-1)2^3a^6 8^(-3)a^3 15^3 z^(-6)
= (30/40)^3 z^(-7) a^9
= 27 a^9 / (64 z^7)

Answer 2

I'd go back to the drawing board. When there, I would put some brackets around the terms in the numerator and denominator of the multiplier (second expression). Its not clear whether the denominator is 15z^2 ir 15z^2-2. I suspect that the coefficent of 6/50 is wrong.