To find [tex]\( F(3) \)[/tex] for the function [tex]\( F(x) = \left( \frac{1}{4} \right)^x \)[/tex], follow these steps:
1. Substitute [tex]\( x = 3 \)[/tex] into the function:
[tex]\[
F(3) = \left( \frac{1}{4} \right)^3
\][/tex]
2. Calculate [tex]\( \left( \frac{1}{4} \right)^3 \)[/tex]:
[tex]\[
\left( \frac{1}{4} \right)^3 = \frac{1}{4} \times \frac{1}{4} \times \frac{1}{4}
\][/tex]
3. Simplify the expression:
[tex]\[
\frac{1}{4} \times \frac{1}{4} \times \frac{1}{4} = \frac{1 \times 1 \times 1}{4 \times 4 \times 4} = \frac{1}{64}
\][/tex]
Thus, [tex]\( F(3) = \frac{1}{64} \)[/tex].
The correct answer is:
B. [tex]\(\frac{1}{64}\)[/tex]
