Answer = 1/64. See below for explanation.
Key Facts/Assumptions:
Short hair (S) is dominant
Long hair (s) is recessive
The Punnet Square yields:
SS = 1/4
Ss = 2/4
ss = 1/4
Because only the ss genotype results in long hair phenotype, the probability of ONE offspring having long hair is 1/4.
To calculate the probability of multiple independent events (i.e. multiple offspring with long hair), simply multiply the probabilities of each event. In this question, this is...
Poffspring1 x Poffspring2 x Poffspring3 = Total Probability of having 3/3 offspring with long hair phenotype.
1/4 x 1/4 x 1/4 = 1/64