n=9
Explanation:
6^10 = 60466176
6^-4 0.00077160493
60466176 x 0.00077160493 = 46655.9994998 , which is the numerator
6^-5 = 0.00012860082
6^2 = 36
0.00012860082 x 36 = 0.00462962952
46655.9994998 / 0.00462962952 = 10077696
6^9 = 10077696
Therefore, n=9