Question

simplify the expression \\((-5m^3)(3m^8)\\).

Explanation:

Step1: Multiply the coefficients

Multiply -5 and 3. So, \(-5\times3 = -15\).

Step2: Multiply the variables using exponent rule

For the variables with the same base \(m\), use the rule \(a^m\times a^n=a^{m + n}\). Here, \(m^3\times m^8=m^{3 + 8}=m^{11}\).

Step3: Combine the results

Combine the coefficient and the variable part. So we get \(-15m^{11}\).

Answer:

\(-15m^{11}\)