Solving for exponent.. please help :)

This topic has expert replies
Senior | Next Rank: 100 Posts
Posts: 76
Joined: Tue Dec 26, 2006 11:26 am
Followed by:3 members

Solving for exponent.. please help :)

by maxim730 » Wed Jan 17, 2007 3:59 pm
Q: (1/5)^m * (1/4)^18 = 1/ (2*10^35)

m=?

Ans is 35

I have no idea how that was derived.

Can someone please explain? Thanks


Source: GMAT Prep

Senior | Next Rank: 100 Posts
Posts: 62
Joined: Tue Jan 16, 2007 9:40 am
Location: Arlington,VA

exponential prob solution

by GMATDUD » Thu Jan 18, 2007 7:48 am
(1/5)^M = 4^18/2*10^35
= 2*2^35/2*10^35
= 2^35/10^35
= (2/10)^35
= (1/5)^35

Hence M = 35.