You are given something that looks like a proof You need to

You are given something that looks like a proof. You need to decide if it correct or not. (It\'s most likely not). If it is not correct you need to clearly identify the error and explain why it is an error, then give a correct proof.

Suppose a divides b and b divides c then prove that a divides c
Since a divides b we can write b = an
Since b divides c we can write c = bm
Combining, we can write c = (an)m = a(nm) = ak
Thus, a divides c.

Solution

Your proof is correct