Question

question 8 (1 point) solve the following. \\((2.68 \times 10^{-3}) \div (0.47 \times 10^{-7})\\) \\(\circ\\) a \\(5.7021 \times 10^{-21}\\) \\(\circ\\) b \\(5.7021 \times 10^{-4}\\) \\(\circ\\) c \\(5.7021 \times 10^{4}\\) \\(\circ\\) d \\(5.7021 \times 10^{21}\\)

Explanation:

Step1: Split the division

$\frac{2.68 \times 10^{-3}}{0.47 \times 10^{-7}} = \frac{2.68}{0.47} \times \frac{10^{-3}}{10^{-7}}$

Step2: Calculate coefficient division

$\frac{2.68}{0.47} \approx 5.7021$

Step3: Simplify exponent division

$\frac{10^{-3}}{10^{-7}} = 10^{-3 - (-7)} = 10^{4}$

Step4: Combine results

$5.7021 \times 10^{4}$

Answer:

c. $5.7021 \times 10^{4}$