Question
Express the following numbers using exponential notations:$1029$
✓
Answer
For solving these type of question, we use prime factorisation method. Given, $1029$
$\begin{array}{c|c} 3 &1029 \\ \hline 7 & 343\\ \hline 7 & 49 \\ \hline 7 & 7 \\ \hline & 1 \end{array}$
Using prime factorisatin of $1029,$
we have$1029 = 3 \times 7 \times 7 \times 7$
$=3 \times 7^3$
$\begin{array}{c|c} 3 &1029 \\ \hline 7 & 343\\ \hline 7 & 49 \\ \hline 7 & 7 \\ \hline & 1 \end{array}$
Using prime factorisatin of $1029,$
we have$1029 = 3 \times 7 \times 7 \times 7$
$=3 \times 7^3$
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