Question

fully simplify.

$-5y^5(-4x^4)$

Explanation:

Step1: Multiply the coefficients

Multiply \(-5\) and \(-4\). We know that \((-5)\times(-4) = 20\).

Step2: Multiply the variables

For the variables, we have \(y^{5}\) and \(x^{4}\). When multiplying monomials, we multiply the coefficients and then the variables (using the commutative property of multiplication). So we combine them as \(x^{4}y^{5}\) (the order of \(x\) and \(y\) can be adjusted, but usually we write them in alphabetical order for simplicity).

Step3: Combine the results

Combine the coefficient and the variables. So \(-5y^{5}(-4x^{4})=20x^{4}y^{5}\).

Answer:

\(20x^{4}y^{5}\)