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question express the following fraction in simplest form using only pos…

Question

question
express the following fraction in simplest form using only positive expo
\frac{2(j)^{3}}{10j^{7}}

Explanation:

Step1: Simplify the constant terms

$\frac{2}{10} = \frac{1}{5}$

Step2: Simplify the variable terms

$\frac{j^3}{j^7} = j^{3-7} = j^{-4} = \frac{1}{j^4}$

Step3: Combine the simplified parts

$\frac{1}{5} \times \frac{1}{j^4}$

Answer:

$\frac{1}{5j^4}$