Question

find the product. simplify your answer.
$(v^{3})(-9v)$

Explanation:

Step1: Multiply coefficients and variables

Multiply the coefficient \(-9\) with the implicit coefficient \(1\) of \(v^3\), and use the exponent rule \(a^m \cdot a^n = a^{m + n}\) for \(v^3 \cdot v\).
\((v^3)(-9v)= -9\times(v^3\times v)\)

Step2: Apply exponent rule

For \(v^3\times v\), since \(v = v^1\), we have \(v^3\times v^1 = v^{3 + 1}=v^4\). Then multiply by \(-9\).
\(-9\times v^4=-9v^4\)

Answer:

\(-9v^4\)