### Instruction: Find $\left(\frac{1}{2}\right)^{4}$.### Response: I know that a power means repeated multiplication, so I can rewrite this as $\frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2}$.
To multiply fractions, I can multiply the numerators and the denominators separately, so this becomes $\frac{1 \cdot 1 \cdot 1 \cdot 1}{2 \cdot 2 \cdot 2 \cdot 2}$.
The numerator is just 1, and the denominator is 2 multiplied by itself four times, which is 16.
So the fraction simplifies to $\frac{1}{16}$.