Question

divide.
\\(\frac{4 \times 10^{-6}}{8 \times 10^{-4}}\\)
\\(5 \times 10^{-10}\\) \\(2 \times 10^{-3}\\) \\(2 \times 10^{-10}\\) \\(5 \times 10^{-3}\\)
submit

Explanation:

Step1: Split into two fractions

$\frac{4 \times 10^{-6}}{8 \times 10^{-4}} = \frac{4}{8} \times \frac{10^{-6}}{10^{-4}}$

Step2: Simplify coefficient fraction

$\frac{4}{8} = 0.5$

Step3: Simplify power of 10

$\frac{10^{-6}}{10^{-4}} = 10^{-6 - (-4)} = 10^{-2}$

Step4: Multiply results

$0.5 \times 10^{-2} = 5 \times 10^{-1} \times 10^{-2} = 5 \times 10^{-3}$

Answer:

$5 \times 10^{-3}$