https://file.aiquickdraw.com/mathbot/file/17267064942433pi06pby.jpg

I can see that you have uploaded a mathematical problem sheet in Indonesian. Let's work through the questions.

Here are some of the tasks from the image:

1. **Question 2:**
   \[
   \text{Tentukan nilai dari } 2^{6!}
   \]
   This asks to calculate \( 2 \) raised to the factorial of 6. We first calculate \( 6! \), which is \( 6 \times 5 \times 4 \times 3 \times 2 \times 1 = 720 \), and then evaluate \( 2^{720} \).

2. **Question 3:**
   \[
   \text{Sederhanakan bilangan berpangkat} \left( \frac{2m^{-5}}{n^8 m^7} \right)^3
   \]
   This asks to simplify the expression involving exponents. The next step is to simplify the base first by combining like terms and then raise the result to the power of 3.

3. **Question 4:**
   \[
   \text{Sederhanakan bilangan berpangkat} \left( \frac{12p^{-6}}{c^{-3}x^4} \right) \times \left( \frac{2p^8}{c^{-4}x^6} \right)
   \]
   This involves multiplication of two expressions with exponents. Simplify by applying the laws of exponents.

4. **Question 5:**
   \[
   \text{Sederhanakan bentuk akar } \sqrt{112} - 2\sqrt{7} + 3\sqrt{63}
   \]
   You simplify this by breaking down the square roots into their prime factors.

5. **Question 6:**
   \[
   \text{Sederhanakan bentuk akar } 2\sqrt{243} + 5\sqrt{48} - 3\sqrt{12} + \sqrt{3}
   \]
   Similarly, simplify the square roots and combine like terms.

Would you like me to start solving specific questions from this list? Let me know if you need any step-by-step solutions or explanations!

Here are 5 questions that relate to the topics in the problem set:

1. How do you apply the laws of exponents when simplifying expressions?
2. What is the process for calculating factorials for large numbers?
3. How do you simplify square root expressions by factoring under the radical?
4. How do you rationalize denominators in complex fractions?
5. What are common mistakes to avoid when simplifying radical expressions?

**Tip:** When working with exponents and roots, always double-check your prime factorizations to ensure accurate simplifications!

Sederhanakan bilangan berpangkat dan bentuk akar serta rasionalisasi penyebut seperti pada soal.

This page covers mathematical problems related to simplifying exponents, square roots, and rationalizing denominators. It includes detailed steps on applying exponent rules, simplifying radical expressions, and performing factorial calculations. Ideal for high school students studying advanced algebra.

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