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The image contains 15 multiple-choice math questions in Indonesian. Let me help with the translation and solving process.

### Questions Breakdown:

1. \((-2x)^5 = ?\)
2. \((2a^r)^4 = ?\)
3. \((4 \times 5^{-5}) \times (7 \times 5^{-5}) = ?\)
4. The square root of \(\frac{1}{3} \times 5^2\) is...?
5. The result of \(\sqrt{5^5}\) is...?
6. \((-2^5) \times (-2)^1 = ?\)
7. Given \(p = a^3 \times b^{-1}\), \(a = 27\), and \(b = 16\), find \(p\).
8. Given \(p = 4\) and \(q = 6\), find the largest value of \(p^q\).
9. Given \(a = \frac{1}{8}, b = 16, c = 4\), find \(a^{-1} \times b^4 \times c^{-1} = ?\).
10. Simplify \(\frac{2^{3x+2}}{2^{x+5}}\).
11. Simplify \(\left(\frac{\sqrt{5}}{5}\right)^2\).
12. \((3\sqrt{5} - 1)^2 = ?\)
13. Solve \(\frac{\sqrt{32} \times \sqrt{18}}{6}\).
14. Simplify \(3\sqrt{5} - 10\).
15. Simplify \(\frac{13}{5 + 2\sqrt{5}}\).

Let me start solving them one by one:

### Solutions:

1. \((-2x)^5 = (-2)^5 x^5 = -32x^5\), hence the answer is **A**.
2. \((2a^r)^4 = 16a^{4r}\), so the answer is **A**.
3. \((4 \times 5^{-5}) \times (7 \times 5^{-5}) = 28 \times 5^{-10} = 28 \times \frac{1}{5^{10}} = 28 \times 5^{-10}\), the answer is **A**.
4. The square root of \(\frac{1}{3} \times 5^2 = \sqrt{\frac{5^2}{3}} = \frac{5}{\sqrt{3}}\), which rationalizes to \(\frac{5\sqrt{3}}{3}\), so the answer is **B**.
5. \(\sqrt{5^5} = \sqrt{5^2 \times 5^3} = 5\sqrt{5}\), the answer is **A**.
6. \((-2^5) \times (-2)^1 = (-32) \times (-2) = 64\), so the answer is **C**.
7. \(p = a^3 \times b^{-1} = 27^3 \times 16^{-1} = \frac{27}{16}\), the answer is **A**.
8. \(p^q = 4^6 = 4096\) is the largest power, the answer is **B**.
9. \(a^{-1} \times b^4 \times c^{-1} = 8 \times 16^4 \times \frac{1}{4} = 512\), so the answer is **A**.
10. \(\frac{2^{3x+2}}{2^{x+5}} = 2^{3x+2 - (x+5)} = 2^{2x - 3}\), the answer is **A**.
11. \(\left(\frac{\sqrt{5}}{5}\right)^2 = \frac{5}{25} = \frac{1}{5}\), the answer is **B**.
12. \((3\sqrt{5} - 1)^2 = 44 - 6\sqrt{5}\), the answer is **B**.
13. \(\frac{\sqrt{32} \times \sqrt{18}}{6} = \frac{4\sqrt{2} \times 3\sqrt{2}}{6} = \frac{12 \times 2}{6} = 4\), the answer is **C**.
14. \(3\sqrt{5} - 10 = 15 - 2\sqrt{5}\), so the answer is **A**.
15. Simplify \(\frac{13}{5 + 2\sqrt{5}}\) using rationalization:
   \[
   \frac{13}{5 + 2\sqrt{5}} \times \frac{5 - 2\sqrt{5}}{5 - 2\sqrt{5}} = \frac{13(5 - 2\sqrt{5})}{25 - 4 \times 5} = \frac{13(5 - 2\sqrt{5})}{5} = 13 - \frac{26\sqrt{5}}{5}.
   \]
   Hence, the answer is **D**.

Would you like further clarification or details on any of the steps? 

### Related Questions:

1. How do you simplify expressions with fractional exponents?
2. What are the properties of negative exponents?
3. How do you rationalize a denominator that contains a square root?
4. How do you expand binomials raised to powers?
5. How do you simplify complex fractions involving square roots?

### Tip:
When working with exponents and roots, remember to apply the exponent rules carefully, especially when multiplying and dividing powers with the same base.

The image contains 15 multiple-choice math questions related to exponents, roots, and algebraic simplifications.

Solve 15 multiple-choice questions involving algebraic expressions with exponents and roots. This set covers various concepts like negative exponents, fractional powers, and algebraic simplifications. Suitable for students in Grades 9-11.

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