Question

express the following fraction in simplest form using only positive exponents.\\(\frac{4(u^{5})^{3}}{20u^{10}}\\)

Explanation:

Step1: Simplify the coefficient fraction

$\frac{4}{20} = \frac{1}{5}$

Step2: Simplify the exponent term

$(u^5)^3 = u^{5 \times 3} = u^{15}$

Step3: Divide the $u$ terms

$\frac{u^{15}}{u^{10}} = u^{15-10} = u^5$

Step4: Combine simplified parts

$\frac{1}{5} \times u^5$

Answer:

$\frac{u^5}{5}$