Question

divide. write your answer in scientific notation.\\(\frac{3 \times 10^{10}}{6 \times 10^{-7}}\\)

Explanation:

Step1: Split coefficients and powers

$\frac{3 \times 10^{10}}{6 \times 10^{-7}} = \frac{3}{6} \times \frac{10^{10}}{10^{-7}}$

Step2: Simplify coefficient fraction

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

Step3: Simplify power of 10

$\frac{10^{10}}{10^{-7}} = 10^{10 - (-7)} = 10^{17}$

Step4: Combine and adjust to scientific notation

$0.5 \times 10^{17} = 5 \times 10^{16}$

Answer:

$5 \times 10^{16}$