Evaluate 4v^3*vu^2

$4 v^{3} \cdot v u^{2}$

Move $v$ .

$4 (v \cdot v^{3}) \cdot u^{2}$

Multiply $v$ by $v^{3}$ .

Raise $v$ to the power of $1$ .

$4 (v^{1} v^{3}) \cdot u^{2}$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$4 v^{1 + 3} \cdot u^{2}$

Add $1$ and $3$ .

$4 v^{4} u^{2}$