Question

Write the following in exponential form : $\mathrm{a}\times \mathrm{a}\times .......21\mathrm{times}$

Answer 1

Exponential form : It is a form of representing repeated multiplication of the same number by writing the number as a base with the number of repeats.

So , $\mathrm{a}\times \mathrm{a}\times .......21\mathrm{times}$ can be represented as

$$\begin{gathered} \Rightarrow \mathrm{a}\times \mathrm{a}\times \mathrm{a}.....\times 21\mathrm{times} \\ \Rightarrow {\mathrm{a}}^{21}\{\because \mathrm{a}\mathrm{is}\mathrm{repreating}21\mathrm{times},\mathrm{so}\mathrm{base}=\mathrm{a}\mathrm{and}\mathrm{exponent}\mathrm{is}21\} \end{gathered}$$

Therefore , the exponential form is ${\mathrm{a}}^{11}$.