For integers x, y, and z, if (3^x) (4^y) (5^z) = 65,536,000,000 and x + y + z = 17, what is the value of xy/z?
Choices.
A) 0 B) 1 C) 3 D) 5 E) 7
The number 65,536,000,000 is not divisible by 3. (We can verify this by adding the digits of the number to see that the sum is not a multiple of 3.)   Thus x = 0 and xy/z = 0.   The answer is 0.
<result>A</result>
For integers x, y, and z, if (3^x) (4^y) (5^z) = 65,536,000,000 and x + y + z = 17, what is the value of xy/z?