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The image discusses bacterial growth through binary fission, where bacteria divide every 20 minutes under optimal conditions. Here's the breakdown:

- **Initial Information**: Bacteria reproduce by splitting into two every 20 minutes.
- **Question**: If the initial number of bacteria is \(a\), how can the total number of bacteria after 2 hours be expressed?

### Step-by-step solution:
- **Time Interval**: 2 hours = 120 minutes.
- **Number of Divisions**: Since bacteria divide every 20 minutes, the number of divisions in 2 hours is:
  \[
  \frac{120 \, \text{minutes}}{20 \, \text{minutes/division}} = 6 \, \text{divisions}.
  \]
  
- **Bacterial Growth Formula**: After \(n\) divisions, the total number of bacteria can be represented as:
  \[
  \text{Final amount} = a \times 2^n.
  \]
  Where \(a\) is the initial number of bacteria and \(n\) is the number of divisions.

- After 6 divisions, the total number of bacteria is:
  \[
  a \times 2^6.
  \]
  
- The correct expression is:
  \[
  \boxed{a \times 2^6}.
  \]
  This corresponds to option **c** from the provided multiple-choice answers.

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Would you like more details or have any questions? Here are five related questions to expand the discussion:

1. How would the number of bacteria change if the division time were reduced to 15 minutes?
2. How can we calculate the total number of bacteria after 3 hours instead of 2 hours?
3. What mathematical model best describes exponential bacterial growth?
4. How does temperature influence bacterial reproduction rates?
5. What is the biological significance of exponential bacterial growth in real-world scenarios?

**Tip**: In bacterial growth, exponential functions are key to modeling how populations expand over time under optimal conditions.

Berdasarkan informasi di atas, jika banyak bakteri mula-mula adalah a, maka jumlah bakteri setelah 2 jam bisa dituliskan sebagai ....

Learn how to calculate bacterial growth through binary fission over 2 hours, where bacteria double every 20 minutes. This problem involves exponential growth and the formula a × 2^n, where n is the number of divisions.

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