Question

divide:
$(8 \times 10^6) \div (4 \times 10^2)$
a. $2 \times 10^4$
b. $2 \times 10^8$
c. $32 \times 10^4$
d. $2 \times 10^2$

Explanation:

Step1: Separate coefficients and powers

We can rewrite the division as a product of two divisions: $\frac{8\times10^{6}}{4\times10^{2}}=\frac{8}{4}\times\frac{10^{6}}{10^{2}}$

Step2: Divide the coefficients

Divide 8 by 4: $\frac{8}{4} = 2$

Step3: Divide the powers of 10

Using the rule $a^{m}\div a^{n}=a^{m - n}$, we have $\frac{10^{6}}{10^{2}}=10^{6 - 2}=10^{4}$

Step4: Multiply the results

Multiply the results from Step 2 and Step 3: $2\times10^{4}$

Answer:

A. $2 \times 10^{4}$