Find the following product. \( y^{4} \cdot 4 y^{3} \cdot y^{5} \) \( y^{4} \cdot 4 y^{3} \cdot y^{5}=\square \)

To find the product \( y^{4} \cdot 4y^{3} \cdot y^{5} \), we can first multiply the coefficients and then the powers of \( y \). The coefficient is simply \( 4 \), and when we add the exponents of \( y \), we have \( 4 + 3 + 5 \). So, the calculation goes like this: - Coefficient: \( 4 \) - Exponents: \( y^{4 + 3 + 5} = y^{12} \) Putting it all together, we get: \( y^{4} \cdot 4y^{3} \cdot y^{5} = 4y^{12} \) Thus, the final answer is \( 4y^{12} \).