If p, q and r are positive integers greater than 1, and p and q are factors of r, which of the following must be the factor of r^(pq)?
I. p+q
II. q^p
III. p^2 * q^2 Choose the correct choice from the following answers:
A) I only B) II only C) III only D) I and II E) II and III
given that p and q are factors of r.   so we can picture it this way r=p*q*n (n-some other factor of r)   so, r^pq= (p*q*n)^pq   I. p+q .since the question is MUST BE TRUE, we eliminate this option   II. (p*q*n)^pq / q^p= integer YII and IIIS!   III.(p*q*n)^pq/ p^2 * q^2 YII and IIIs, since we are said that integer p&gt;1 and integer q&gt;1   ANSWII and IIIR:II and III
<result>E</result>
If p, q and r are positive integers greater than 1, and p and q are factors of r, which of the following must be the factor of r^(pq)?
I. p+q
II. q^p
III. p^2 * q^2