Question

simplify, \\(dfrac{20u^{5}}{4u^{4}}\\)

Explanation:

Step1: Simplify the coefficient

Divide the coefficient 20 by 4.
$\frac{20}{4} = 5$

Step2: Simplify the variable term

Use the rule of exponents $\frac{a^m}{a^n}=a^{m - n}$ for the variable $u$. Here, $m = 5$ and $n = 4$, so $\frac{u^5}{u^4}=u^{5 - 4}=u$.

Step3: Combine the results

Multiply the simplified coefficient and the simplified variable term.
$5\times u = 5u$

Answer:

$5u$