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# gmat prep exponents

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Intern
Joined: 05 Sep 2008
Posts: 13

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12 Sep 2008, 14:01
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Can someone explain how to solve this equation

(1/5)^m*(1/4)^18= 1/2(10)^35 what is the value of M???

Intern
Joined: 05 Sep 2008
Posts: 13

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12 Sep 2008, 14:44
anyone? please? this was my first question in gmat practice exam 1 and i got it wrong...
the qa was m=35..........
Senior Manager
Joined: 09 Oct 2007
Posts: 463

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12 Sep 2008, 15:01
Are you sure you wrote this properly?

I think you meant:
(1/5)^m * (1/4)^18 = 1/(2*10^35)

Am I right? If so, here's how you solve:

Since you multiply across, you can get rid of the numerator:
5^m * 4^18 = 2*10^35

Convert everything to same bases:
5^m * (2^2)^18 = 2*(2^35*5^35)

Simplify:
5^m * 2^36 = 2^36 *5^35

m=35
Intern
Joined: 05 Sep 2008
Posts: 13

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12 Sep 2008, 15:11
asdert wrote:
Are you sure you wrote this properly?

I think you meant:
(1/5)^m * (1/4)^18 = 1/(2*10^35)

Am I right? If so, here's how you solve:

Since you multiply across, you can get rid of the numerator:
5^m * 4^18 = 2*10^35

Convert everything to same bases:
5^m * (2^2)^18 = 2*(2^35*5^35)

Simplify:
5^m * 2^36 = 2^36 *5^35

m=35

yea i did write it wrong it was a multiplication!

Thank you very much!
Intern
Joined: 24 Jul 2008
Posts: 5

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17 Sep 2008, 06:26
Here are a few pages with some good info on exponential equations. Also, READ the section on exponential equations in the math review of the Official Guide.

Solving
Defining
Basics
Re: gmat prep exponents   [#permalink] 17 Sep 2008, 06:26
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# gmat prep exponents

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