If a and b are integers and (a*b)^5 = 64y, y could be: Choose the most appropriate option:
A) 16
B) 32
C) 64
D) 128
E) 256
Distribute the exponent.   a^5 * b^5 = 64 y   Find the prime factorization of 64. This is 2^5 *2^1   We need 2^4 (or some other power of 2 that will give us a multiple of 2^5 as our second term).   2^4 = 16   The answer is 16.
<result>A</result>
If a and b are integers and (a*b)^5 = 64y, y could be: