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Exponent Question Help

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Senior | Next Rank: 100 Posts
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Exponent Question Help

by anwarma » Tue Jun 10, 2008 6:08 am
Question is

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


ANS --> 35

How the 35 is the answer? What Am I doing wrong in understanding the problem?

I would greatly appreciate the help!
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by VerbalAttack » Tue Jun 10, 2008 6:14 am
hi anwarma,

could you clarify the question again?

is it (1/2)*10^35

or 1/(2 * 10^35)

or 1/(2 * 10)^35.. little confusing

cheers
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by anwarma » Tue Jun 10, 2008 6:34 am
VerbalAttack wrote:hi anwarma,

could you clarify the question again?

is it (1/2)*10^35

or 1/(2 * 10^35)

or 1/(2 * 10)^35.. little confusing

cheers
OK!

Exact wording is

-->If (1/5)^m multiplied by (1/4)^18 = 1/2(10)^35, then m =

(A) 17

(B) 18

(C) 34

(D) 35 <-- ANSWER

(E) 36
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by vishubn » Tue Jun 10, 2008 6:50 am
Yes , 35 is the answer

question is simplified to :

--->(1/5^m) * (1/2^36)=1/2(2*5)^35
--->1/(5^m)(2^36)=1/(2^36)(5^35)--- adding powers on right hand side
therefore 5^m=5^35 and m=35


CHeers
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