Question

1. (-2c⁴d)(4cd)

Explanation:

Step1: Multiply the coefficients

Multiply -2 and 4: $(-2)\times(4) = -8$

Step2: Multiply the \(c\)-terms

Use the rule \(a^m\times a^n = a^{m + n}\) for \(c^4\times c\): \(c^4\times c = c^{4 + 1}=c^5\)

Step3: Multiply the \(d\)-terms

Use the rule \(a^m\times a^n = a^{m + n}\) for \(d\times d\): \(d\times d = d^{1+1}=d^2\)

Step4: Combine the results

Multiply the results from Step1, Step2, and Step3: \(-8\times c^5\times d^2=-8c^5d^2\)

Answer:

\(-8c^5d^2\)