Question

question
fully simplify.
$5x^2y^4(-7x^3y)$

Explanation:

Step1: Multiply coefficients

Multiply the numerical coefficients: $5\times(-7) = -35$

Step2: Multiply \(x\)-terms

Use exponent rule \(a^m\times a^n=a^{m + n}\) for \(x\): \(x^{2}\times x^{3}=x^{2 + 3}=x^{5}\)

Step3: Multiply \(y\)-terms

Use exponent rule for \(y\): \(y^{4}\times y=y^{4+1}=y^{5}\)

Step4: Combine results

Multiply the results from steps 1 - 3: \(-35\times x^{5}\times y^{5}=-35x^{5}y^{5}\)

Answer:

\(-35x^{5}y^{5}\)