((1^m)/(5^m))((1^16)/(4^16)) = 1/(2(10)^31)
What is m? Choose the correct choice from the following answers:
A) 17
B) 18
C) 34
D) 31
E) 36
((1^m)/(5^m))((1^16)/(4^16)) = 1/(2(10)^31)   ((1/5)^m ) * ((1/2)^32) = 1/ (2 * (2*5)^31))   2^36 will cancel out,since 1 can be written as 1^35 ,So (1/5)^m= (1/5)^31   ((1/5)^m ) * ((1/2)^32) = 1/[(2^32)*(5^31)]   So, m=31   Answer 31
<result>D</result>
((1^m)/(5^m))((1^16)/(4^16)) = 1/(2(10)^31)
What is m?