powers

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powers

by salma » Mon Jan 28, 2008 10:47 am
Hi,
If (1/5)^m (1/4)^18 = 1/2(10)^35, then m=
17
18
34
35
36

I don't understand why is it 35??

Thanks a lot
Source: — Problem Solving |

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by cris » Mon Jan 28, 2008 2:46 pm
Are you sure its 35 and not -35??

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powers

by salma » Mon Jan 28, 2008 3:15 pm
No it's 35!!
I tried to solve it many times...but no way!!!

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by sibbineni » Mon Jan 28, 2008 3:23 pm
The answer is 35

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

(1/5^m) (1/2^2)18=1/2(2*5)^35

(1/5^m) (1/2^36)=1/2*2^35*5^35

(1/5^m)=(1/5^35)

therefore m=35


Suggest me if iam wrong

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powers

by salma » Mon Jan 28, 2008 3:29 pm
waw 100% correct, thank you so much :D

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by cris » Tue Jan 29, 2008 7:16 am
This problem is really driving me nutts!!

Does anybody knows how do we go from here:

(1/5^m) (1/2^36)=1/2*2^35*5^35

To here: (1/5^m)=(1/5^35)??

Thanks a lot!