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Please help understanding the following q!!

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Junior | Next Rank: 30 Posts
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by gettin there » Thu Sep 25, 2008 9:24 am
Please help understanding the following q!!
(1/5)^m *(1/4)^18 =1/2(10)^35.

What is the value of m?
a17
b24
c35
d45
*50
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by stop@800 » Thu Sep 25, 2008 11:54 am
(1/5)^m * (1/4)^18 = 1/2(10)^35
(1/5)^m * (1/2)^(2*18) = 1/2(10)^35
(1/5)^m * (1/2)^36 = 1/2(10)^35
1/2 [(1/5)^m * (1/2)^35] = 1/2(10)^35
(1/5)^m * (1/2)^35 = 1/(10^35)
(1/5)^m * (1/2)^35 = 1/2( (2^35) * (5^35))
(1/5)^m = 1/(5^35)
m = 35
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Junior | Next Rank: 30 Posts
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Joined: Thu Sep 25, 2008 9:15 am
Location: new york
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thanks stop@800!!!!!!!

by gettin there » Thu Sep 25, 2008 5:36 pm
really helped!!
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by spqr » Sat Dec 13, 2008 2:15 pm
stop@800 wrote:(1/5)^m * (1/4)^18 = 1/2(10)^35
(1/5)^m * (1/2)^(2*18) = 1/2(10)^35
(1/5)^m * (1/2)^36 = 1/2(10)^35
1/2 [(1/5)^m * (1/2)^35] = 1/2(10)^35
(1/5)^m * (1/2)^35 = 1/(10^35)
(1/5)^m * (1/2)^35 = 1/2( (2^35) * (5^35))
(1/5)^m = 1/(5^35)
m = 35
why did the line 5:

(1/5)^m * (1/2)^35 = 1/(10^35)

had "1/" left on the right side, when the 1/2 was eliminated completely from the left side? if you divided one side of the equation by 1/2 you should devide the other side by 1/2 as well, right?

am i missing something here? please help, thanks!
"Some men draw a circle around themselves and protect those who are in it: Wife and children. Some men draw a bigger circle around themselves and protect more: Mother, uncles, aunts, grandchildren. Some men draw a big, big circle around themselves and protect many, many more. There comes a point in a man's life when he must find out for himself, which of those men will he be."
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