How many cells will be produced if a cell divides mitotically 6 times?

Options

A. 12
B. 24
C. 32
D. 64

Answer

To determine how many cells will be produced if a cell divides mitotically 6 times, we can follow these steps:

### Step-by-Step Solution:

1. **Understand Mitosis**: Mitosis is a type of cell division that results in two daughter cells from one parent cell. Each time a cell undergoes mitosis, it doubles the number of cells.

2. **Identify the Number of Divisions**: The question states that the cell divides 6 times. We denote the number of divisions as \( n \), where \( n = 6 \).

3. **Use the Formula for Cell Production**: The formula to calculate the number of cells produced after \( n \) mitotic divisions is given by:
\[ \text{Number of cells} = 2^n \]
Here, \( n \) is the number of times the cell divides.

4. **Substitute the Value of \( n \)**: Since \( n = 6 \), we substitute this value into the formula:
\[ \text{Number of cells} = 2^6 \]

5. **Calculate \( 2^6 \)**: Now we calculate \( 2^6 \):
\[ 2^6 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 = 64 \]

6. **Conclusion**: Therefore, if a cell divides mitotically 6 times, it will produce a total of 64 cells.

### Final Answer:
The total number of cells produced after 6 mitotic divisions is **64**.