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