4 ^ 18 = 2^36
next
2(10^35) = 5^m * 2^36
2(10^35) = 5^m * 2^35 * 2
2(10^35) = 2((5^m)*(2^35)
so 5^m * 2 ^ 35 = 10^35
10^35 also equals (2*5)^35 = 2^35 * 5^35
so m = 35
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