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GMATCRUSHER
- Junior | Next Rank: 30 Posts
- Posts: 14
- Joined: Sat Oct 11, 2008 2:43 pm
10 can be written as 5x2 and 4 = 2x2 = 2^2GMATCRUSHER wrote:(1/5)^m(1/4)^18= 1/[2(10)^35]
On the RHS we now have 2(5x2)^35 = 2(5^35)(2^35) = (5^35)(2^36)
On the LHS we have (5^m)(2^2)^18 = (5^m)(2^36)
[For convenience's sake, i've neglected the numerator part since both numerators are 1 and exponents on both sides are Positive]
Thus [spoiler]m = 35[/spoiler]
