1. The problem is to find the value of $4^n$ for a given $n$. 2. The expression $4^n$ means 4 raised to the power of $n$, which is multiplying 4 by itself $n$ times. 3. The formula is simply: $$4^n = \underbrace{4 \times 4 \times \cdots \times 4}_{n \text{ times}}$$ 4. For example, if $n=3$, then: $$4^3 = 4 \times 4 \times 4 = 64$$ 5. To find $4^n$, you need to know the value of $n$ and then multiply 4 by itself $n$ times. 6. If $n$ is zero, by definition, $4^0 = 1$. 7. If $n$ is negative, $4^n = \frac{1}{4^{-n}}$. Please provide the value of $n$ to calculate $4^n$ specifically.