https://file.aiquickdraw.com/mathbot/file/1727313410911c5cuvxdp.jpg

Let’s go through each of the math problems shown in the image:

### 1. \(\text{Nilai dari } 3^2 \times 3^{-2} \times 3 = ?\)

First, simplify using the property of exponents:  
\[
3^2 \times 3^{-2} \times 3 = 3^{2 + (-2) + 1} = 3^1 = 3
\]
Answer: \(3\)

---

### 2. \(\text{Nilai dari } 8^{1/3} \text{ adalah } ?\)

This expression represents the cube root of \(8\):
\[
8^{1/3} = \sqrt[3]{8} = 2
\]
Answer: \(2\)

---

### 3. \(\text{Hitunglah } 2^2 + 4^2 + 6^2 = ?\)

First, calculate each term:
\[
2^2 = 4,\quad 4^2 = 16,\quad 6^2 = 36
\]
Add them together:
\[
4 + 16 + 36 = 56
\]
Answer: \(56\)

---

### 4. \(3\sqrt{5} \times 3\sqrt{5} \times 2\sqrt{8} = ?\)

Simplify each term:
\[
3\sqrt{5} \times 3\sqrt{5} = (3 \times 3)(\sqrt{5} \times \sqrt{5}) = 9 \times 5 = 45
\]
\[
2\sqrt{8} = 2\sqrt{4 \times 2} = 2 \times 2\sqrt{2} = 4\sqrt{2}
\]
Now, multiply the results:
\[
45 \times 4\sqrt{2} = 180\sqrt{2}
\]
Answer: \(180\sqrt{2}\)

---

### 5. \(4\sqrt{10} \times \sqrt{2} = ?\)

Simplify the square roots:
\[
\sqrt{10} \times \sqrt{2} = \sqrt{20}
\]
Thus:
\[
4\sqrt{10} \times \sqrt{2} = 4\sqrt{20} = 4 \times 2\sqrt{5} = 8\sqrt{5}
\]
Answer: \(8\sqrt{5}\)

---

### 6. \(8\sqrt{2} + 4\sqrt{2} + 5\sqrt{2} = ?\)

Since the terms have the same square root, add the coefficients:
\[
8\sqrt{2} + 4\sqrt{2} + 5\sqrt{2} = (8 + 4 + 5)\sqrt{2} = 17\sqrt{2}
\]
Answer: \(17\sqrt{2}\)

---

Let me know if you'd like further clarification on any of the steps!

### Follow-up Questions:
1. What is the general rule for multiplying powers with the same base?
2. How do you calculate fractional exponents like \(8^{1/3}\)?
3. What happens when you square a number under a square root?
4. Can you explain how we combined the square roots in question 5?
5. Why do we add only the coefficients in question 6 when dealing with square roots?

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

Nilai dari 3^2 × 3^{-2} × 3 = ?, Nilai dari 8^{1/3} adalah ?, Hitunglah 2^2 + 4^2 + 6^2 = ?, 3√5 × 3√5 × 2√8 = ?, 4√10 × √2 = ?, 8√2 + 4√2 + 5√2 = ?

This page covers how to simplify exponents, calculate fractional roots, and multiply and add square roots. It includes questions such as simplifying 3^2 × 3^{-2} × 3, evaluating 8^{1/3}, and adding radicals like 8√2 + 4√2 + 5√2. Suitable for students in Grades 9-11.

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