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Let's go through the questions one by one based on the image you've provided:

1. **\(3^2 \times 3^{-2} \times 3^3\)**:
   - Using the laws of exponents, \(a^m \times a^n = a^{m+n}\).
   - So, \(3^2 \times 3^{-2} = 3^{2 + (-2)} = 3^0 = 1\).
   - Then \(1 \times 3^3 = 3^3 = 27\).
   - **Answer: 27**

2. **\(8^{\frac{2}{3}}\)**:
   - This represents the cube root of 8 squared.
   - \(8^{\frac{2}{3}} = \left( \sqrt[3]{8} \right)^2 = 2^2 = 4\).
   - **Answer: 4**

3. **\(2^2 + 4^2 + 6^2\)**:
   - Squaring each term:
     - \(2^2 = 4\),
     - \(4^2 = 16\),
     - \(6^2 = 36\).
   - Adding them: \(4 + 16 + 36 = 56\).
   - **Answer: 56**

4. **\(\sqrt{5} \times 3\sqrt{5} \times 2\sqrt{8}\)**:
   - Simplify each part:
     - \(\sqrt{5} \times 3\sqrt{5} = 3(\sqrt{5})^2 = 3 \times 5 = 15\),
     - \(\sqrt{8} = 2\sqrt{2}\), so \(2\sqrt{8} = 4\sqrt{2}\).
   - Final expression: \(15 \times 4\sqrt{2} = 60\sqrt{2}\).
   - **Answer: \(60\sqrt{2}\)**.

5. **\(\sqrt{10} \times \sqrt{2}\)**:
   - Multiply under the same square root:
     - \(\sqrt{10} \times \sqrt{2} = \sqrt{10 \times 2} = \sqrt{20}\).
   - Simplify \(\sqrt{20} = 2\sqrt{5}\).
   - **Answer: \(2\sqrt{5}\)**.

6. **\(8\sqrt{2} + 4\sqrt{2} + 8\sqrt{2}\)**:
   - Combine like terms (since all are multiples of \(\sqrt{2}\)):
     - \(8\sqrt{2} + 4\sqrt{2} + 8\sqrt{2} = (8 + 4 + 8)\sqrt{2} = 20\sqrt{2}\).
   - **Answer: \(20\sqrt{2}\)**.

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Would you like further details or explanations on any of these solutions? Here are some additional practice problems:

1. Simplify \(3^4 \times 3^{-1} \times 3^2\).
2. Evaluate \(16^{\frac{3}{4}}\).
3. What is the sum of squares of \(3, 5,\) and \(7\)?
4. Simplify \(2\sqrt{3} \times 5\sqrt{3}\).
5. Multiply \(\sqrt{6} \times \sqrt{3}\).

**Tip**: When multiplying square roots, remember that \(\sqrt{a} \times \sqrt{b} = \sqrt{a \times b}\).

1. Nilai dari 3^2 × 3^-2 × 3^3
2. Nilai dari 8^(2/3)
3. Hitunglah 2^2 + 4^2 + 6^2
4. √5 × 3√5 × 2√8
5. √10 × √2
6. 8√2 + 4√2 + 8√2

This math problem involves simplifying exponent and square root expressions. Learn how to simplify expressions like 3^2 × 3^-2 × 3^3, evaluate 8^(2/3), and work through algebraic simplifications. Suitable for students in Grades 8-10.

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