SOLUTION: If 2160=2 raised to a x 3 raised to b x 5 raised to c,find a,b,c

Algebra ->  Exponents -> SOLUTION: If 2160=2 raised to a x 3 raised to b x 5 raised to c,find a,b,c       Log On


   



Question 737764: If 2160=2 raised to a x 3 raised to b x 5 raised to c,find a,b,c

Answer by Susan-math(40) About Me  (Show Source):
You can put this solution on YOUR website!
2160:
divide by 2 to get: (2)(1080)
again: (2)(2)(540)
again: (2)(2)(2)(270)
again:(2)(2)(2)(2)(135) done since 135 is odd.
now use 3:
(2)(2)(2)(2)(3)(45)
(2)(2)(2)(2)(3)(3)(15)
(2)(2)(2)(2)(3)(3)(3)(5)
this is 2%5E4+%2A+3%5E3+%2A5%5E1