Answer:
[tex]F(2)= \frac{1}{32} [/tex]
Step-by-step explanation:
The given function is
[tex]F(t) = 2 \cdot \: \frac{1}{{2}^{3t} } [/tex]
To find F(2), we substitute t=2 into the function.
This means that wherever we see t, we put 2
[tex]F(2) = 2 \cdot \: \frac{1}{{2}^{3 \times 2} } [/tex]
We multiply the exponent in the denominator to get:
[tex]F(2) = 2 \cdot \: \frac{1}{{2}^{6} } [/tex]
We evaluate to get:
[tex]F(2) = 2 \cdot \: \frac{1}{64} [/tex]
We now cancel the common factors to get:
[tex]F(2) = \frac{1}{32} [/tex]
