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ANTONII [103]
3 years ago
8

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

Mathematics
1 answer:
navik [9.2K]3 years ago
6 0

Answer:

F(2)= \frac{1}{32}

Step-by-step 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 \times 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 \:  \frac{1}{64}

We now cancel the common factors to get:

F(2) = \frac{1}{32}

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