Question

multiply.
$3x^{8}w^{2} \cdot 2x \cdot 8w^{5}$
simplify your answer as much as possible.

Explanation:

Step1: Multiply constant coefficients

$3 \times 2 \times 8 = 48$

Step2: Combine $x$-terms (add exponents)

$x^8 \times x = x^{8+1} = x^9$

Step3: Combine $w$-terms (add exponents)

$w^2 \times w^5 = w^{2+5} = w^7$

Step4: Combine all simplified parts

$48 \times x^9 \times w^7$

Answer:

$48x^9w^7$