# Money date

Dima loves unusual coins. He brought 3 coins from his collection to the meeting with Alice, such that for them the probability of a head's is twice as likely as tails. Alice promised that if Dima tosses three coins and they all fall out tails up, then she will go on a date with him. The probability that Alice and Dima will go on a date is representable as an irreducible fraction $\frac {m} {n}$, where $m$ is an integer and $n$ is a natural number. Find the value of $m ^ {5} n ^ {2}$.