A coin has 2 sides so you have a 50% chance at getting the side you choose. If you flip it 6 times you multiply 1/2 by itself 6 times.
[tex] \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} = {\boxed{\frac{1}{64}}[/tex]
Answer: [tex] \frac{1}{64} [/tex]