If m, n 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^(mn)?
I. m+n
II. n^m
III. m^2 * n^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 m and n are factors of r.   so we can picture it this way r=m*n*n (n-some another factor of r)   so, r^mn= (m*n*n)^mn   I. m+n .since the question is MUST BE TRUE, we eleminate this option   II. (m*n*n)^mn / n^m= integer YII and IIIS!   III.(m*n*n)^mn/ m^2 * n^2 YII and IIIs, since we are said that integer m&gt;1 and integer n&gt;1
<result>E</result>
If m, n 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^(mn)?
I. m+n
II. n^m
III. m^2 * n^2