Question
Express the following numbers using exponential notations:$1024$
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Answer
For solving these type of question, we use prime factorisation method. Given, $1024$
$\begin{array}{c|c}2 & 1024 \\ \hline2 & 512 \\ \hline 2 & 256 \\ \hline 2 & 128 \\ \hline 2 & 16 \\ \hline 2 & 8 \\ \hline 2 & 4 \\ \hline 2 & 2 \\ \hline & 1 \end{array}$
Using prime factorisatin of $1024$,
we have $1024 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 = 2^{10}$
$\begin{array}{c|c}2 & 1024 \\ \hline2 & 512 \\ \hline 2 & 256 \\ \hline 2 & 128 \\ \hline 2 & 16 \\ \hline 2 & 8 \\ \hline 2 & 4 \\ \hline 2 & 2 \\ \hline & 1 \end{array}$
Using prime factorisatin of $1024$,
we have $1024 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 = 2^{10}$
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