Question

simplify.
$\frac{40w^{4}}{4w^{6}}$

Explanation:

Step1: Simplify the coefficient

$\frac{40}{4}=10$

Step2: Use exponent - rule for division

$\frac{w^{4}}{w^{6}}=w^{4 - 6}=w^{-2}=\frac{1}{w^{2}}$

Step3: Combine the results

$10\times\frac{1}{w^{2}}=\frac{10}{w^{2}}$

Answer:

$\frac{10}{w^{2}}$