Question

Use the function below to find F(2).
F(t) = 2•1/2^3t

Answer 1

`F(2)= (1)/(32)`

Explanation:

The given function is

`F(t) = 2 \cdot \: \frac{1}{{2}^(3t) }`

To find F(2), we substitute t=2 into the function.

This means that wherever we see t, we put 2

`F(2) = 2 \cdot \: \frac{1}{{2}^(3 * 2) }`

We multiply the exponent in the denominator to get:

`F(2) = 2 \cdot \: \frac{1}{{2}^(6) }`

We evaluate to get:

`F(2) = 2 \cdot \: (1)/(64)`

We now cancel the common factors to get:

`F(2) = (1)/(32)`