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प्रश्न
Bacteria can divide in every 20 minutes. So 1 bacterium can multiply to 2 in 20 minutes. 4 in 40 minutes, and so on. How many bacteria will there be in 6 hours? Write your answer using exponents, and then evaluate.
Most bacteria reproduce by a type of simple cell division known as binary fission. Each species reproduce best at a specific temperature and moisture level.
उत्तर
We know that, 1 h = 60 min
6 h = 60 × 6 min = 360 min
Given, a bacteria doubles itself every 20 min.
Number of times it will double itself = 360 min/20 min = 18
∴ Bacteria will there in 6 h = 2 × 2 × 2 × ... × 2 (18 times) = 218
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संबंधित प्रश्न
Express the following number using exponential notation:
729
Evaluate: 32 x 42
Evaluate: `((- 3)/(- 5))^3`
Complete the table below.
| Sr. No | Indices (Numbers in index form) |
Base | Index | Multiplication form | Value |
| (i) | 34 | 3 | 4 | 3 × 3 × 3 × 3 | 81 |
| (ii) | 163 | ||||
| (iii) | (−8) | 2 | |||
| (iv) | `3/7 xx 3/7 xx 3/7 xx 3/7` | `81/2401` | |||
| (v) | (−13)4 |
Identify the greater number in the following.
53 or 35
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If 36 = 6 × 6 = 62, then `1/36` expressed as a power with the base 6 is ______.
729 = 3—
Fill in the blanks with <, > or = sign
32 ______ 15
