Question

find the product. simplify your answer.
$(-3a^{3})(8a^{3})$

Explanation:

Step1: Multiply the coefficients

Multiply -3 and 8. So, \(-3\times8 = -24\).

Step2: Multiply the variables

When multiplying variables with exponents, we add the exponents. For \(a^{3}\times a^{3}\), using the rule \(a^{m}\times a^{n}=a^{m + n}\), we get \(a^{3+3}=a^{6}\).

Step3: Combine the results

Combine the coefficient and the variable part. So, \((-3a^{3})(8a^{3})=-24a^{6}\).

Answer:

\(-24a^{6}\)