The product 1.25 X 10^n is the cube of an integer when n=

A. 1999
B. 2000
C. 2001
D. 2002

1 answer

since 5^3 = 125 = 1.25x10^2
any power of 10 will do, as long as it is 2 more than a multiple of 3.

That's because each 3 added to the power is the same as multiplying by 1000, which is 10^3.