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numeric problem

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by GMAT_Tomorrow » Tue Aug 05, 2008 7:24 am
If (1/5)^m (1/4)^18 = 1/2(10)^35, Then M =

Please note, if you have never seen this problem before I am not sure if you understand how I am typing it. 1/5 is raised to the m power,and 1/4 is raised to hte 18th power; however, it is only 2(10) that is raised to the 35th power.

I hope that makes sense. Thank-You! :?
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by parallel_chase » Tue Aug 05, 2008 7:58 am
you simplify the problem

5^m 4^18 = 2(10^35)

5^m 4^18 = 2(2^35 * 5^35)

5^m 4^18 = 2^36 * 5^35


5^m 4^18 = 4^18 * 5^35

m = 35


Hope this helps.
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by GMAT_Tomorrow » Tue Aug 05, 2008 8:15 am
Thank you for responding! I got it!
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