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

Options

A. 64
B. 126
C. 128
D. 7

Answer

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 type of cell division that results in two daughter cells from one parent cell. Each division doubles the number of cells.

2. **Identify the Formula**:
- The number of cells produced after 'n' mitotic divisions can be represented by the formula:
\[ \text{Number of cells} = 2^n \]
- Here, 'n' is the number of divisions.

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

4. **Convert 128 to a Power of 2**:
- We can express 128 as a power of 2.
- Since \(128 = 2^7\), we can rewrite our equation as:
\[ 2^n = 2^7 \]

5. **Solve for 'n'**:
- By comparing the exponents, we find:
\[ n = 7 \]

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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