Question

simplify the fraction \\(\frac{3 b^{2} w^{8}}{6 b^{7} w^{3}}\\). enter the result.

Explanation:

Step1: Simplify coefficient

$\frac{3}{6} = \frac{1}{2}$

Step2: Simplify $b$-terms

$b^{2-7} = b^{-5} = \frac{1}{b^5}$

Step3: Simplify $w$-terms

$w^{8-3} = w^{5}$

Step4: Combine all simplified parts

$-\frac{1}{2} \cdot \frac{1}{b^5} \cdot w^5$

Answer:

$-\frac{w^5}{2b^5}$