# How do you divide (6.98*10^8)/(3.67*10^5)?

$\setminus \frac{6.98 \cdot {10}^{8}}{3.67 \cdot {10}^{5}} = \setminus \frac{6.98}{3.67} \cdot \setminus \frac{{10}^{8}}{{10}^{5}}$
The first fraction is a standard numeric division, and so any calculator gives you $6.98 \setminus \div 3.67 = 1.90$. As for the second ratio, use the formula that states that when dividing two powers with the same base, you simply subtract the exponents. You can see that this makes perfectly sense, since you can simplify as many "tens" in the numerator as many "tens" in the denominator you have:
$\setminus \frac{{10}^{8}}{{10}^{5}} = \setminus \frac{10 \cdot 10 \cdot 10 \cdot 10 \cdot 10 \cdot 10 \cdot 10 \cdot 10}{10 \cdot 10 \cdot 10 \cdot 10 \cdot 10} = 10 \cdot 10 \cdot 10 = {10}^{3}$
and we have indeed that ${10}^{8} \setminus \div {10}^{5} = {10}^{8 - 5} = {10}^{3}$
So, the final answer is that $\setminus \frac{6.98 \cdot {10}^{8}}{3.67 \cdot {10}^{5}} = 1.90 \cdot {10}^{3}$