Question

multiply.
$4w^{5}x^{3} \cdot 2w \cdot 6x^{2}$
simplify your answer as much as possible.

Explanation:

Step1: Multiply the coefficients

Multiply the numerical coefficients: \(4 \times 2 \times 6 = 48\)

Step2: Multiply the \(w\) terms

For the \(w\) variables, use the rule of exponents \(a^m \cdot a^n = a^{m + n}\). So \(w^5 \cdot w = w^{5 + 1}=w^6\)

Step3: Multiply the \(x\) terms

For the \(x\) variables, use the same exponent rule: \(x^3 \cdot x^2 = x^{3+2}=x^5\)

Step4: Combine all parts

Combine the coefficient and the variables: \(48w^6x^5\)

Answer:

\(48w^6x^5\)