Question

1. $8a^{8} cdot -6a^{10}$

Explanation:

Step1: Multiply the coefficients

Multiply 8 and -6: \(8\times(-6)= -48\)

Step2: Multiply the variables using exponent rule

For \(a^8 \cdot a^{10}\), use \(a^m \cdot a^n = a^{m + n}\), so \(a^8 \cdot a^{10}=a^{8 + 10}=a^{18}\)

Step3: Combine the results

Multiply the coefficient result and the variable result: \(-48\times a^{18}=-48a^{18}\)

Answer:

\(-48a^{18}\)