Question

simplify.\\(\frac{36uv^{5}}{27u^{2}v}\\)

Explanation:

Step1: Simplify numerical coefficients

$\frac{36}{27} = \frac{4}{3}$

Step2: Simplify $u$ terms

$\frac{u}{u^2} = u^{1-2} = u^{-1} = \frac{1}{u}$

Step3: Simplify $v$ terms

$\frac{v^5}{v} = v^{5-1} = v^4$

Step4: Combine all simplified parts

$\frac{4}{3} \times \frac{1}{u} \times v^4 = \frac{4v^4}{3u}$

Answer:

$\frac{4v^4}{3u}$