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Let me analyze and solve the questions from the image you uploaded. The questions are in Indonesian and involve various algebraic and exponentiation problems. I'll provide solutions for each one based on the image.

### 1. \((-2x)^5 = \dots\)
\[
(-2x)^5 = (-2)^5 \cdot x^5 = -32x^5
\]
**Answer:** A. \(-32x^5\)

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### 2. \((2a^2)^4 = \dots\)
\[
(2a^2)^4 = 2^4 \cdot (a^2)^4 = 16a^8
\]
**Answer:** B. \(16a^8\)

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### 3. \((4 \times 5^{-3}) \times (7 \times 5^{-6}) = \dots\)
\[
= 4 \times 7 \times 5^{-3-6} = 28 \times 5^{-9}
\]
**Answer:** A. \(28 \times 5^{-9}\)

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### 4. \( \text{Bentuk akar dari } 3 \cdot 1^5_3 = \dots \)
The expression is unclear due to potential formatting errors, but likely related to solving roots involving exponents.

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### 5. Hasil dari \((\sqrt{5})^3 = \dots\)
\[
(\sqrt{5})^3 = 5^{3/2}
\]
**Answer:** A. \(5^{3/2}\)

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### 9. \(\text{Diketahui } a = \frac{1}{8}, b = 16, \text{ dan } c = 4 \). Nilai \( a^{\frac{-1}{3}} \times b^{\frac{1}{4}} \times c^{-\frac{1}{2}} \) adalah \dots
\[
a^{\frac{-1}{3}} = \left(\frac{1}{8}\right)^{-1/3} = 2, \quad b^{1/4} = 16^{1/4} = 2, \quad c^{-\frac{1}{2}} = 4^{-\frac{1}{2}} = \frac{1}{2}
\]
\[
\therefore 2 \times 2 \times \frac{1}{2} = 4
\]
**Answer:** C. \(4\)

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### 10. Bentuk sederhana dari \(\frac{2^{3x+2} \cdot 2^2}{2^{x+5}} = \dots\)
\[
\frac{2^{3x+2} \cdot 2^2}{2^{x+5}} = \frac{2^{3x+4}}{2^{x+5}} = 2^{3x+4-(x+5)} = 2^{2x-1}
\]
**Answer:** B. \(2^{2x-1}\)

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Let me know if you'd like me to clarify any of the solutions, and feel free to ask if you want help with the rest of the questions!

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**Related questions:**
1. What are the rules for combining exponents when multiplying and dividing powers?
2. How do you simplify expressions with roots and fractional exponents?
3. What is the relationship between roots and powers of numbers?
4. How do you evaluate negative exponents in a real-world context?
5. What are the properties of exponents when working with variables?

**Tip:** Always check the signs and base numbers when dealing with negative exponents to avoid mistakes.

Various exponentiation and algebra problems from a math worksheet, including expressions like (-2x)^5, (2a^2)^4, and more.

Solve various exponentiation and simplification problems including (-2x)^5, (2a^2)^4, and more. Learn key algebraic concepts like fractional exponents, roots, and exponentiation laws. Suitable for Grade 9-11 students.

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