Question

question
simplify:
(9q)(-4q³)

Explanation:

Step1: Multiply the coefficients

Multiply 9 and -4. So, \(9\times(-4)= -36\).

Step2: Multiply the variables using exponent rule

For the variable \(q\) and \(q^{3}\), use the rule \(a^{m}\times a^{n}=a^{m + n}\). Here, \(q\times q^{3}=q^{1+3}=q^{4}\).

Step3: Combine the results

Combine the coefficient and the variable part. So, \((9q)(-4q^{3})=-36q^{4}\).

Answer:

\(-36q^{4}\)