Exponent with variable

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fltingley: Senior | Next Rank: 100 Posts; Posts: 47; Joined: Mon Oct 02, 2006 4:19 am; Thanked: 3 times

by fltingley » Mon Aug 17, 2009 11:24 am

If (1/5)^m * (1/4)^18 = 1/(2(10)^35), then m=

17
18
34
35
36

[spoiler]OA: 35[/spoiler]

Thanks in advance!

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Source: Beat The GMAT — Problem Solving | Mon Aug 17, 2009 11:24 am

gmatv09: Master | Next Rank: 500 Posts; Posts: 256; Joined: Mon Aug 10, 2009 6:31 pm; Thanked: 3 times

by gmatv09 » Mon Aug 17, 2009 11:42 am

5^(-m) * 2^(-36) = 2^(-36) * 5^(-35)

==> m = 35

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fltingley: Senior | Next Rank: 100 Posts; Posts: 47; Joined: Mon Oct 02, 2006 4:19 am; Thanked: 3 times

by fltingley » Mon Aug 17, 2009 11:43 am

I knew I was going about it the wrong way.

Thanks for the "fresh eyes", gmatv09!

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