If u, v 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^(uv)?
I. u+v
II. v^u
III. u^2 * v^2	Choose the correct choice from the following options.
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=u*v*n (n-some another factor of r)   so, r^uv= (u*v*n)^uv   I. u+v .since the question is MUST BE TRUE, we eleminate this option   II. (u*v*n)^uv / v^u= integer YII and IIIS!   III.(u*v*n)^uv/ u^2 * v^2 YII and IIIs, since we are said that integer u&gt;1 and integer v&gt;1
<result>E</result>
If u, v 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^(uv)?
I. u+v
II. v^u
III. u^2 * v^2