SOLUTION: The prime factorization of 2000 can be written 2000 = 2^x 5^y. The sum x + y equals A.6 B.7 C.8 D9 E.10

Algebra ->  Divisibility and Prime Numbers -> SOLUTION: The prime factorization of 2000 can be written 2000 = 2^x 5^y. The sum x + y equals A.6 B.7 C.8 D9 E.10       Log On


   

Question 277958: The prime factorization of 2000 can be written 2000 = 2^x 5^y.
The sum x + y equals
A.6 B.7 C.8 D9 E.10
Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
factoring
2000
100_*_20
2*50_*_2*10
2*2*25_*_2*2*5
2*2*5*5_*_2*2*5
so 2%5E4 and 5%5E3
x=4 y=3
4+3=7