What is the Value of 'm' ?
(1/5)^m * (1/4)^18 = 1/((2*(10)^35))
I believe m=35
could someone please find the time to verify this is the correct answer and explain the solution. I would be very thankful if so... I'm having trouble with this one....
exponents problem
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Ssmiles08,
Thank you very much! But could you elaborate some on the solution... I'm not seeing what you did with the (1/4)^18 value that (1/5)^m is multiplied by... showing a few steps would be great. Thanks!
Thank you very much! But could you elaborate some on the solution... I'm not seeing what you did with the (1/4)^18 value that (1/5)^m is multiplied by... showing a few steps would be great. Thanks!
LFAL
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Ssmiles08,
Thank you very much! But could you elaborate some on the solution... I'm not seeing what you did with the (1/4)^18 value that (1/5)^m is multiplied by... showing a few steps would be great. Thanks!
Thank you very much! But could you elaborate some on the solution... I'm not seeing what you did with the (1/4)^18 value that (1/5)^m is multiplied by... showing a few steps would be great. Thanks!
LFAL
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yes sure.LFalken wrote:Ssmiles08,
Thank you very much! But could you elaborate some on the solution... I'm not seeing what you did with the (1/4)^18 value that (1/5)^m is multiplied by... showing a few steps would be great. Thanks!
(1/5)^m * (1/4)^18 = 1/((2*(10)^35))
(1/5)^m = 1/5^m
(1/4)^18 = ((1/2)^2)^18 = 1/2^36
1/((2*(10)^35)) = 1/(2*(2*5)^35)
so its 1/5^m * 1/2^36 = 1/(2*2^35*5^35)
2*2^35 = 2^36
5^35 = 5^m
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LFALKEN,
(1/5)^m * (1/4)^18 = 1/((2*(10)^35))
(1/5)^m * (1/4)^18 = 1/((2*(5*2)^35))
(1/5)^m * (1/4)^18 = 1/((2*(5)^35*(2)^35))
(1/5)^m * (1/4)^18 = 1/(((5)^35*(2)^36))
(1/5)^m * (1/4)^18 = (1/5)^35 * (1/4)^18
so m=35
(1/5)^m * (1/4)^18 = 1/((2*(10)^35))
(1/5)^m * (1/4)^18 = 1/((2*(5*2)^35))
(1/5)^m * (1/4)^18 = 1/((2*(5)^35*(2)^35))
(1/5)^m * (1/4)^18 = 1/(((5)^35*(2)^36))
(1/5)^m * (1/4)^18 = (1/5)^35 * (1/4)^18
so m=35
The powers of two are bloody impolite!!