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divide. write your answer in scientific notation.\\(\frac{3 \times 10^{…

Question

divide. write your answer in scientific notation.\\(\frac{3 \times 10^{-3}}{6 \times 10^{-5}}\\)

Explanation:

Step1: Split into two fractions

$\frac{3}{6} \times \frac{10^{-3}}{10^{-5}}$

Step2: Simplify the coefficient

$\frac{3}{6} = 0.5$

Step3: Simplify the powers of 10

$\frac{10^{-3}}{10^{-5}} = 10^{-3 - (-5)} = 10^{2}$

Step4: Multiply the results

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

Answer:

$5 \times 10^{1}$