Number of mitotic divisions required to produce 128 cells from a single cell is

Options

A. 7
B. 14
C. 16
D. 32

Explanation

To determine the number of mitotic divisions required to produce 128 cells from a single cell, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Process of Mitosis**:
- Mitosis is a process where one cell divides to produce two daughter cells.

2. **Identify the Relationship**:
- After each mitotic division, the number of cells doubles. This can be expressed mathematically as:
\[ \text{Number of cells} = 2^n \]
where \( n \) is the number of mitotic divisions.

3. **Set Up the Equation**:
- We need to find \( n \) such that:
\[ 2^n = 128 \]

4. **Calculate the Power of 2**:
- We can express 128 as a power of 2:
\[ 128 = 2^7 \]

5. **Solve for n**:
- From the equation \( 2^n = 2^7 \), we can deduce that:
\[ n = 7 \]

6. **Conclusion**:
- Therefore, the number of mitotic divisions required to produce 128 cells from a single cell is **7**.

### Final Answer:
The number of mitotic divisions required to produce 128 cells from a single cell is **7**.

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