Question

fully simplify.
-16x⁵y⁴(-7x²y⁵)

Explanation:

Step1: Multiply the coefficients

Multiply \(-16\) and \(-7\). So, \(-16\times(-7) = 112\).

Step2: Multiply the \(x\)-terms

Use the rule \(a^m\times a^n=a^{m + n}\) for \(x\)-terms. Here, \(x^5\times x^2=x^{5 + 2}=x^7\).

Step3: Multiply the \(y\)-terms

Use the same exponent rule for \(y\)-terms. \(y^4\times y^5=y^{4+5}=y^9\).

Step4: Combine the results

Combine the coefficient, \(x\)-term, and \(y\)-term. So we get \(112x^7y^9\).

Answer:

\(112x^{7}y^{9}\)