https://file.aiquickdraw.com/mathbot/file/1726906279598dnd4ufzq.jpg

I see the image contains a series of multiple-choice math questions. I will provide solutions for each question.

### Solutions:
1. **Hasil dari \( 2^3 \times 2^4 \) adalah...**
   \[
   2^3 \times 2^4 = 2^{3+4} = 2^7
   \]
   **Jawaban: a. 2^7**

2. **Bentuk sederhana dari \((a^2)^3\) adalah...**
   \[
   (a^2)^3 = a^{2 \times 3} = a^6
   \]
   **Jawaban: b. a^6**

3. **Nilai dari \(\sqrt{125}\) adalah...**
   \[
   \sqrt{125} = \sqrt{25 \times 5} = \sqrt{25} \times \sqrt{5} = 5\sqrt{5}
   \]
   **Jawaban: d. 5\sqrt{5}**

4. **Bentuk sederhana dari \(3\sqrt{2} + 5\sqrt{2}\) adalah...**
   \[
   3\sqrt{2} + 5\sqrt{2} = (3 + 5)\sqrt{2} = 8\sqrt{2}
   \]
   **Jawaban: a. 8\sqrt{2}**

5. **Bentuk baku dari 5.000.000 adalah...**
   \[
   5.000.000 = 5 \times 10^6
   \]
   **Jawaban: d. 5 \times 10^6**

6. **Bilangan \(6,78 \times 10^4\) jika ditulis dalam bentuk biasa adalah...**
   \[
   6,78 \times 10^4 = 67800
   \]
   **Jawaban: a. 67.800**

7. **Bentuk baku dari 0,000000078 adalah...**
   \[
   0,000000078 = 7,8 \times 10^{-8}
   \]
   **Jawaban: c. 7,8 \times 10^{-8}**

8. **Bilangan \(2,5 \times 10^5\) jika dikalikan dengan \(4 \times 10^3\) hasilnya adalah...**
   \[
   2,5 \times 10^5 \times 4 \times 10^3 = (2,5 \times 4) \times 10^{5+3} = 10 \times 10^8 = 1 \times 10^9
   \]
   **Jawaban: b. 1 \times 10^9**

9. **Jarak antara Bumi dan Matahari sekitar \(1,5 \times 10^{11}\) meter. Jika ditulis dalam bentuk biasa, jarak tersebut adalah...**
   \[
   1,5 \times 10^{11} = 150.000.000.000
   \]
   **Jawaban: d. 150.000.000.000 meter**

10. **Bentuk rasional dari \( \frac{3}{\sqrt{5} - 2} \) adalah...**
   Mengalikan dengan sekawan:
   \[
   \frac{3}{\sqrt{5} - 2} \times \frac{\sqrt{5} + 2}{\sqrt{5} + 2} = \frac{3(\sqrt{5} + 2)}{(\sqrt{5} - 2)(\sqrt{5} + 2)} = \frac{3(\sqrt{5} + 2)}{5 - 4} = 3(\sqrt{5} + 2)
   \]
   **Jawaban: b. \(3\sqrt{5} + 6\)**

Let me know if you want the complete solutions for the remaining questions or have any specific queries.

### 5 Relative Questions:
1. How do you rationalize a denominator in a fraction?
2. Can you explain how to convert a number into standard form?
3. How do you add and simplify like terms with radicals?
4. What are the rules for multiplying exponents?
5. How do you solve quadratic equations?

### Tip:
When dealing with exponents, always remember the basic rules like \(a^m \times a^n = a^{m+n}\) and \((a^m)^n = a^{m \times n}\).

Multiple-choice math questions from an image, including powers, square roots, and quadratic equations.

This page contains solutions to multiple-choice math problems involving exponents, square roots, scientific notation, and quadratic equations. Ideal for students in Grades 7-9, this set of problems covers key mathematical concepts with step-by-step solutions.

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