Question

1. $4v^{3} cdot vu^{2}$

Explanation:

Step1: Recall the exponent rule for multiplication ($a^m \cdot a^n = a^{m + n}$)

For the variable \( v \), we have \( v^3 \cdot v = v^{3 + 1} \)

Step2: Multiply the coefficients and combine variables

The coefficient is 4, and we have \( u^2 \) as is. So combining, we get \( 4 \cdot u^2 \cdot v^{3 + 1} = 4u^2v^4 \)

Answer:

\( 4u^2v^4 \)