Simplify \( \left(16 p^{16}\right)^{\frac{1}{4}} \)

To simplify \( \left(16 p^{16}\right)^{\frac{1}{4}} \), we can first apply the exponent to both the numerical and variable parts separately. Starting with the numerical part: \[ 16^{\frac{1}{4}} = 2 \] since \( 16 = 2^4 \), and taking the fourth root gives us \( 2 \). Now, for the variable part \( p^{16} \): \[ \left( p^{16} \right)^{\frac{1}{4}} = p^{16 \cdot \frac{1}{4}} = p^4. \] Putting it all together, we have: \[ \left(16 p^{16}\right)^{\frac{1}{4}} = 2 p^4. \] Thus, the simplified expression is: \[ \boxed{2 p^4}. \]