Hi i'm new to this forum. I have a problem with a question on number theory which requires proving. The question is "Let a, b, c be integers. Prove that if a^2|b and b^3|c then a^4b^5|c^3." I do not know how to go around to solve this question please help thanks.

I tried expanding a^2|b and b^3|c to a^2=bk where some k is an integer and b^3=cl where some l is an integer multiplying it together a^2b^3=bckl cube both sides a^6b^8=c^3kl