Question

1. (4c²)(6c²)

Explanation:

Step1: Multiply the coefficients

Multiply 4 and 6. So, \(4\times6 = 24\).

Step2: Multiply the variables

When multiplying variables with exponents, we add the exponents. For \(c^{2}\times c^{2}\), we use the rule \(a^{m}\times a^{n}=a^{m + n}\), so \(c^{2}\times c^{2}=c^{2+2}=c^{4}\).

Step3: Combine the results

Combine the coefficient and the variable result. So, \((4c^{2})(6c^{2})=24c^{4}\).

Answer:

\(24c^{4}\)