Question

divide. write your answer in scientific notation. \\(\frac{4 \times 10^{7}}{8 \times 10^{-10}}\\)

Explanation:

Step1: Split the coefficients and exponents

$\frac{4 \times 10^7}{8 \times 10^{-10}} = \frac{4}{8} \times \frac{10^7}{10^{-10}}$

Step2: Simplify the coefficient fraction

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

Step3: Simplify the exponent terms

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

Step4: Combine and adjust to scientific notation

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

Answer:

$5 \times 10^{16}$