Require assistance with this PS question...

[Horus]

(1/5)^m * (1/4)^18 = 1 / 2(10)^35 , solve for m

a)17
b)18
c)34
d)35
e)36

Any help will be appreciate...thanks

[tibet]

Answer: D - 35

(1/5)^m X (1/4)^18= 1/2*10^35
(1/5)^m X (1/2)^36 = 1/(2*2^35*5^35)
(1/5)^m X (1/2)^36 = 1/(2^36 * 5^35)
(1/5)^m=(1/5)^35
m=35

[Horus]

Thank you sir.

[nikiforos]

rhs - factor of 5 is 5^-35.
so for lhs m = 35

[hesmala]

thanks

[1bbinfo]

My ans is also D:35.
(1/4)^18=(1/2)^36=(1/2)*(1/2)^35
So, m=35 satisfies rhs.