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प्रश्न
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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उत्तर
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
APPEARS IN
संबंधित प्रश्न
Evaluate.
`{(1/3)^(-1) - (1/4)^(-1)}^(-1)`
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(30 + 4−1) × 22
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\[\left( \frac{1}{2} \right)^{- 1} + \left( \frac{1}{3} \right)^{- 1} + \left( \frac{1}{4} \right)^{- 1}\]
By what number should 5−1 be multiplied so that the product may be equal to (−7)−1?
Evaluate:
5−2
Simplify:
Express the following rational numbers with a positive exponent:
Find the value of (2−1 × 4−1) ÷2−2.
Evaluate.
(5−1 × 2−1))× 6−1
Predicting the ones digit, copy and complete this table and answer the questions that follow.
| Powers Table | ||||||||||
| x | 1x | 2x | 3x | 4x | 5x | 6x | 7x | 8x | 9x | 10x |
| 1 | 1 | 2 | ||||||||
| 2 | 1 | 4 | ||||||||
| 3 | 1 | 8 | ||||||||
| 4 | 1 | 16 | ||||||||
| 5 | 1 | 32 | ||||||||
| 6 | 1 | 64 | ||||||||
| 7 | 1 | 128 | ||||||||
| 8 | 1 | 256 | ||||||||
| Ones Digits of the Powers |
1 | 2, 4, 8, 6 | ||||||||
- Describe patterns you see in the ones digits of the powers.
- Predict the ones digit in the following:
- 412
- 920
- 317
- 5100
- 10500
- Predict the ones digit in the following:
- 3110
- 1210
- 1721
- 2910
