Question

multiply.
\\( 3w^2 x^8 \cdot 5w \cdot 2x^9 \\)
simplify your answer as much as possible.

Explanation:

Step1: Group constants and like variables

$(3 \cdot 5 \cdot 2) \cdot (w^2 \cdot w) \cdot (x^8 \cdot x^9)$

Step2: Calculate constant product

$30 \cdot (w^2 \cdot w) \cdot (x^8 \cdot x^9)$

Step3: Combine $w$ terms (add exponents)

$30 \cdot w^{2+1} \cdot (x^8 \cdot x^9)$
$30 \cdot w^3 \cdot (x^8 \cdot x^9)$

Step4: Combine $x$ terms (add exponents)

$30 \cdot w^3 \cdot x^{8+9}$
$30 \cdot w^3 \cdot x^{17}$

Answer:

$30w^3x^{17}$