Question

divide.\\(\frac{8 \times 10^{9}}{2 \times 10^{2}}\\)\\(4 \times 10^{8}\\) \\(4 \times 10^{2}\\) \\(4 \times 10^{9}\\) \\(4 \times 10^{7}\\) submit

Explanation:

Step1: Split coefficients and powers

Separate the terms: $\frac{8}{2} \times \frac{10^9}{10^2}$

Step2: Divide the coefficients

Calculate coefficient division: $\frac{8}{2} = 4$

Step3: Divide the power terms

Use exponent rule $\frac{10^a}{10^b}=10^{a-b}$: $\frac{10^9}{10^2}=10^{9-2}=10^7$

Step4: Combine the results

Multiply the two results: $4 \times 10^7$

Answer:

$4 \times 10^{7}$