Question

a^2 x a^5/ a 3 = a^4?

(h^2)^5 = 2 x 5 = h10?

a^7/a^3 = 7-3 = a4?

b^2 c^5 / bc^3 = bc2? or b2c?

Answer 1

first one is right

I don't like your misuse of the equal signs in #2 and #2

(h^2)^5
= h^10

you said (h^2)^5 = 2x5 , which of course is 10, but
(h^2)^5 ≠ 10
should have been:
(h^2)^5 = h^(2x5) = h^10

#3, same thing, and the answer is a^4 , not a4

b^2 c^5/(b c^3)
= b c^2