I can't figure out how to do this?

Question

(-5a^4b^3/2)^2(a^7b^-1) over a^5b^2

the answer is either:
-10a^8b^1/2
10a^18b^-3/4
25a^10b
25a^10

Can someone please help!

Answer 1

(-5a^4b^3/2)^2(a^7b^-1) / a^5b^2
= (-5)^2 (a^4)^2 (b^(3/2))^2 . a^7 b^(-1) . a^(-5) b^(-2)
= 25 a^8 b^3 a^7 b^(-1) a^(-5) b^(-2)
= 25 a^(8 + 7 - 5) b^(3 - 1 - 2)
= 25 a^10 b^0
= 25 a^10 (1)
= 25 a^10.

Answer 2

you wrote something wrong, check your question once more. Use paranthysis this time

Answer 3

25a^8b^3a^7b^-1/a^5b^2
25a^15b^2/a^5b^2
25a^10