Question

multiply.
$-4w^{2} \cdot 7w$
simplify your answer as much as possible.

Explanation:

Step1: Multiply the coefficients

Multiply -4 and 7: $-4\times7 = -28$

Step2: Multiply the variables

Use the rule of exponents $a^m \cdot a^n = a^{m + n}$ for $w^2 \cdot w$. Here, $m = 2$ and $n = 1$, so $w^2 \cdot w=w^{2 + 1}=w^3$

Step3: Combine the results

Combine the coefficient and the variable: $-28\times w^3=-28w^3$

Answer:

$-28w^3$