much as possibl \( \left(6 x y z^{4}\right)\left(5 x y^{3}\right) \)

To simplify the expression \( \left(6 x y z^{4}\right)\left(5 x y^{3}\right) \), you multiply the coefficients and then the variables separately. First, multiply the coefficients: \( 6 \times 5 = 30 \). Next, combine the variables: - For \( x \): \( x \cdot x = x^{2} \) - For \( y \): \( y \cdot y^{3} = y^{4} \) - \( z^{4} \) remains as is since there is no \( z \) in the second term. Putting it all together, you get \( 30 x^{2} y^{4} z^{4} \). Therefore, the simplified expression is \( 30 x^{2} y^{4} z^{4} \).