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GMATCRUSHER
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PostPosted: Wed Nov 19, 2008 3:42 pm    Post subject: Help once more...stuck on another exponent Q.... Reply with quote

(1/5)^m(1/4)^18= 1/[2(10)^35]
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Neo2000
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PostPosted: Wed Nov 19, 2008 6:37 pm    Post subject: Re: Help once more...stuck on another exponent Q.... Reply with quote

GMATCRUSHER wrote:
(1/5)^m(1/4)^18= 1/[2(10)^35]


10 can be written as 5x2 and 4 = 2x2 = 2^2
On the RHS we now have 2(5x2)^35 = 2(5^35)(2^35) = (5^35)(2^36)
On the LHS we have (5^m)(2^2)^18 = (5^m)(2^36)
[For convenience's sake, i've neglected the numerator part since both numerators are 1 and exponents on both sides are Positive]

Thus m = 35

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GMATCRUSHER
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PostPosted: Wed Nov 19, 2008 10:39 pm    Post subject: Reply with quote

thank you
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