Question

simplify.
\frac{vu^{4}}{v^{5}u^{3}}

Explanation:

Step1: Separate variable terms

$\frac{v u^4}{v^5 u^3} = \frac{v}{v^5} \times \frac{u^4}{u^3}$

Step2: Apply exponent rule $\frac{x^a}{x^b}=x^{a-b}$

$\frac{v}{v^5}=v^{1-5}=v^{-4}$; $\frac{u^4}{u^3}=u^{4-3}=u^{1}$

Step3: Rewrite positive exponents (optional)

$v^{-4}=\frac{1}{v^4}$; $u^1=u$

Step4: Combine simplified terms

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

Answer:

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