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The document you've uploaded contains a worksheet on the topic of **Exponents (Eksponen)**. It includes exercises on identifying base numbers and exponents, calculating exponent values, and simplifying exponential expressions.

Here is a summary of the key sections:

### Competencies:
1. Understanding the concept of exponents.
2. Calculating values of numbers with exponents.
3. Applying the properties of exponents.

### Exercises:
1. **Identifying Exponents**: 
   - Convert expressions into exponent form, such as \( 2 \times 2 \) becoming \( 2^2 \).
   - Example: 
     - \( 2 \times 2 = 2^2 \)
     - \( 2 \times 2 \times 2 = 2^3 \)
   
2. **Determine the Base and Exponent**: 
   - A table where you are asked to identify the base and exponent from given exponential expressions like \( 5^4 \), \( 6^4 \), etc.

3. **Calculate Powers**: 
   - Calculate powers such as \( 5^4 \) and \( \left( \frac{1}{2} \right)^4 \).
   
4. **Simplifying Exponent Expressions**: 
   - Simplify expressions like \( 3^7 \div 3^3 \) and other more complex forms such as \( \left( 2^{-1} \cdot 3^3 \right)^2 \).

5. **Further Operations with Exponents**:
   - Convert expressions like \( 6^{3/5} \), calculate powers such as \( 16^{3/4} \), and simplify complex exponential forms like \( \left( \frac{27}{64} \right)^{2/3} \).

Do you want a step-by-step explanation for any of these questions or help with specific problems? Feel free to ask!

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**5 Related Questions:**
1. How do you simplify an expression like \( 3^7 \div 3^3 \)?
2. What is the result of \( \left( \frac{1}{2} \right)^4 \)?
3. How do you convert a fractional exponent like \( 6^{3/5} \) to a radical form?
4. How do you simplify the expression \( \left( 2^{-1} \cdot 3^3 \right)^2 \)?
5. What steps are involved in calculating \( \left( \frac{27}{64} \right)^{2/3} \)?

**Tip:** Remember that when dividing powers with the same base, subtract the exponents: \( a^m \div a^n = a^{m-n} \).

Solve and understand various problems related to exponents, including determining bases, calculating powers, and simplifying exponential expressions.

Learn how to solve problems related to exponents. This page covers essential concepts like simplifying exponent expressions, calculating powers, and converting fractional exponents into radical forms. Suitable for students in Grades 7-9.

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