Question

multiply.
$2w^{2}\cdot6v^{6}w^{7}\cdot4v$
simplify your answer as much as possible.

Explanation:

Step1: Group constant and variable terms

$(2 \cdot 6 \cdot 4) \cdot (v^6 \cdot v) \cdot (w^2 \cdot w^7)$

Step2: Calculate constant product

$2 \cdot 6 \cdot 4 = 48$

Step3: Combine $v$ terms (add exponents)

$v^{6+1} = v^7$

Step4: Combine $w$ terms (add exponents)

$w^{2+7} = w^9$

Step5: Multiply all simplified parts

$48 \cdot v^7 \cdot w^9$

Answer:

$48v^7w^9$