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Question
The cells of a bacteria double itself every hour. How many cells will there be after 8 hours, if initially we start with 1 cell. Express the answer in powers.
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Solution
The cell of a bacteria double itself every hour = 1 + 1 = 2 = 21
Since, the process started with 1 cell.
∴ The total number of cell in 8 h = 21 × 21 × 21 × 21 × 21 × 21 × 21 × 21
= `2^(1 + 1 + 1 + 1 + 1 + 1 + 1 + 1)` ...[∵ am × an = (a)m + n]
= 28
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