SOLUTION: 2^m 5^n = 128,000,000 What does m + n equal? A. 13 B. 15 C. 16 D. 17 E. 19

Algebra ->  Exponents -> SOLUTION: 2^m 5^n = 128,000,000 What does m + n equal? A. 13 B. 15 C. 16 D. 17 E. 19      Log On


   



Question 243158: 2^m 5^n = 128,000,000 What does m + n equal?
A. 13
B. 15
C. 16
D. 17
E. 19

Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
Prime factors for 128,000,000 are 2.2.2.2.2.2.2.2.2.2.2.2.2.5.5.5.5.5.5
See this URL --> http://www.virtuescience.com/prime-factor-calculator.html
So that's 2%5E13+%2A+5%5E6
13%2B6+=+19
"Final ansa" ===> E