(4.92*10^-2)/(2.2*10^-4)
$$\\\frac{4.92\times 10^{-2}}{2.2*10^{-4}}\\\\ =\frac{4.92}{2.2}\times \frac{10^{-2}}{10^{-4}}\\\\ =2.2\dot3\dot6\times 10^{-2--4}\\\\ =2.2\dot3\dot6\times 10^{-2+4}\\\\ =2.2\dot3\dot6\times 10^{2}\\\\$$
(4.92*10^-2)/(2.2*10^-4) rewrite as
(4.92 / 2.2) * (10^-2/10^-4)
(2.2363636363636364) * (10^4 / 10^2) negative exponents "travel" across the fraction bar
2.2363636363636364 * 10 ^2 (in scientific notation)
or just
223.63636363636364