I put this one under the high school level because it really shouldn't be that hard, but it has me stumped. Any advice?

Question: what is the value of m in the following expression?

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

The denominator exponent bases on the LHS are 5 and 4, so they can't be combined. I was thinking about 4 = 2^2, but that isn't helping me either.

Anything thoughts are much appreciated.

--integrity