SOLUTION: (1/5)^m(1/4)^18 = 1/2 1/(10)^35 what is the value of m? answer is 35, but don't have explanation

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Question 87616: (1/5)^m(1/4)^18 = 1/2 1/(10)^35
what is the value of m?
answer is 35, but don't have explanation
Answer by madhujiithcharu@yahoo.co.in(28) About Me  (Show Source):
You can put this solution on YOUR website!
1/5^m 1/4^18 = 1/2 1/10^35
= 1/2 (1/2 1/5)^35
= 1/2^36 1/5^35
= 1/4^18 1/5^35
Therefore 1/5^m = 1/5^35
m = 35