Question

10²²+10^{20 all divided by} 10²⁰

Answer 1

$$\begin{gathered} \mathrm{Hi}, \\ \frac{{10}^{22}+{10}^{20}}{{10}^{20}}=\frac{{10}^{20+2}+{10}^{20}}{{10}^{20}} \\ =\frac{{10}^{20}\times {10}^2+{10}^{20}}{{10}^{20}}\left[\mathrm{Since}{\mathrm{a}}^{\mathrm{x}+\mathrm{y}}={\mathrm{a}}^{\mathrm{x}}\times {\mathrm{a}}^{\mathrm{y}}\right] \\ =\frac{{10}^{20}\left({10}^2+1\right)}{{10}^{20}}\mathrm{Since}{10}^{20}\mathrm{is}\mathrm{both}\mathrm{in}{\mathrm{D}}^{\mathrm{r}}\mathrm{and}{\mathrm{N}}^{\mathrm{r}},\mathrm{cancel}\mathrm{it} \\ =100+1 \\ =101 \end{gathered}$$