Solving for exponent.. please help :)

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maxim730: Senior | Next Rank: 100 Posts; Posts: 76; Joined: Tue Dec 26, 2006 11:26 am; Followed by:3 members

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

Source: Beat The GMAT — Problem Solving | Wed Jan 17, 2007 3:59 pm

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

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.

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