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The image shows problems asking to convert radical expressions into exponential form and exponential expressions into radical form. Let's go through each one.

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**31. \( \sqrt{3} \)**

- **Exponential form**: \( 3^{1/2} \)

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**32. \( 6x^8 \)**

- This expression is already in exponential form since there's no radical sign. It remains: \( 6x^8 \).

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**33. \( -6^2\sqrt[3]{23x^2y^3} \)**

- **Exponential form**:
  \( -6^2 (23x^2y^3)^{1/3} \)
  
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**34. \( \sqrt[4]{(32xyz)^3} \)**

- **Exponential form**: 
  \( (32xyz)^3 \) becomes \( (32xyz)^{3/4} \)

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**35. \( \sqrt[5]{6(x^7)^2} \)**

- **Exponential form**:
  First, \( (x^7)^2 = x^{14} \), then \( 6(x^{14})^{1/5} \), which is \( 6x^{14/5} \).

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Would you like any further clarification or additional steps explained?

Here are 5 related questions for practice:
1. How would you write \( \sqrt[3]{x^5} \) in exponential form?
2. Convert \( (x^4y^2)^{1/2} \) into radical form.
3. What is \( \sqrt{5^3} \) in exponential notation?
4. Express \( \sqrt[5]{3a^4b^6} \) in terms of exponents.
5. Simplify \( (16x^8)^{1/2} \) in radical form.

**Tip**: When converting radicals to exponents, remember that \( \sqrt[n]{x^m} = x^{m/n} \).

Transform the given radical forms into exponential form and exponential forms into radical forms: 31. √3 32. 6x^8 33. -6^2√[3]{23x^2y^3} 34. √[4]{(32xyz)^3} 35. √[5]{6(x^7)^2}

Learn how to transform radical forms into exponential forms and vice versa. This guide covers key concepts in algebra, including radicals, exponents, and their relationship. Suitable for students in Grades 9-10.

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