The number of mitotic cell division required to produce 256 cells from single cell would be

Options

A. 128
B. 255
C. 10
D. All wrong

Explanation

To determine the number of mitotic cell divisions required to produce 256 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, each identical to the parent cell. This means that with each division, the number of cells doubles.

2. **Establish the Relationship**:
- If we start with 1 cell, after 1 division, we will have 2 cells (2^1 = 2).
- After 2 divisions, we will have 4 cells (2^2 = 4).
- After 3 divisions, we will have 8 cells (2^3 = 8).
- Continuing this pattern, after n divisions, the number of cells will be 2^n.

3. **Set Up the Equation**:
- We want to find n such that 2^n = 256.

4. **Calculate the Power of 2**:
- We know that 256 is a power of 2. Specifically, 256 = 2^8.
- Therefore, we can set up the equation: 2^n = 2^8.

5. **Solve for n**:
- Since the bases are the same, we can equate the exponents: n = 8.

6. **Conclusion**:
- Thus, the number of mitotic cell divisions required to produce 256 cells from a single cell is **8**.

### Final Answer:
The number of mitotic cell divisions required to produce 256 cells from a single cell is **8**.

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