1 **Understanding Fractional Exponents**This educational module is designed to teach you how to express radicals using fractional exponents.### InstructionsYou'll be required to rewrite the given expression $ \sqrt[3]{x^3} 3 \sqrt{y} $ using fractional exponents. This problem is presented in an interactive format, allowing you to input your answer directly.1. **Read the given expression**: $ \sqrt[3]{x^3} 3 \sqrt{y} $2. **Convert each part of the radical expression into a form using fractional exponents.** - The cube root of $ x^3 $ can be written as $ (x^3)^{1/3} $. - Apply the properties of exponents to simplify $ (x^3)^{1/3} $ to $ x^{3 \cdot \frac{1}{3}} = x^1 = x $. - The square root of $ y $ is $ y^{1/2} $.Therefore, rewrite the expression as $ x \cdot y^{1/2} $, or $ xy^{1/2} $.### Interactive ToolThe interactive tool provided on this page features a visual representation to help you input fractional exponents correctly.- **Input Panel**: There is an input panel where you can type your rewritten expression. The highlighted block (in purple) represents the input box for your answer.- **Numerical Pad**: Below the input panel, there is a numerical pad with numbers and fractions to assist in typing fractional exponents accurately.$ 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, -, +, \times, r, y $You can click on these buttons to build your expression.### Example InteractionTo complete the exercise:1. Use the numerical pad to input your answer into the purple input box. **Correct Answer**: The expression $ \sqrt[3]{x^3} 3 \sqrt{y} $ should be written using fractional exponents as $ xy^{1/2} $.### NavigationOnce you've entered the expression, proceed by clicking the "NEXT QUESTION" button for further practice or select "ASK FOR HELP" if you need assistance.**Note:** Make sure to click the trashcan

Name: 1 **Understanding Fractional Exponents**This educational module is des
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Description: 1 **Understanding Fractional Exponents**This educational module is designed to teach you how to express radicals using fractional exponents.### InstructionsYou'll be required to rewrite the given expression $ \sqrt[3]{x^3} 3 \sqrt{y} $ using fracti

Answered: Image /qna-images/answer/6a3f5bfb-3733-4461-8db1-28dfd8efc288.jpg

Answered: Write x y using fractional exponents.

Math

Algebra

Write x y using fractional exponents.

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Topic Video

Question

**Understanding Fractional Exponents**

This educational module is designed to teach you how to express radicals using fractional exponents.

### Instructions

You'll be required to rewrite the given expression $ \sqrt[3]{x^3} 3 \sqrt{y} $ using fractional exponents. This problem is presented in an interactive format, allowing you to input your answer directly.

1. **Read the given expression**: $ \sqrt[3]{x^3} 3 \sqrt{y} $
2. **Convert each part of the radical expression into a form using fractional exponents.**
- The cube root of $ x^3 $ can be written as $ (x^3)^{1/3} $.
- Apply the properties of exponents to simplify $ (x^3)^{1/3} $ to $ x^{3 \cdot \frac{1}{3}} = x^1 = x $.
- The square root of $ y $ is $ y^{1/2} $.

Therefore, rewrite the expression as $ x \cdot y^{1/2} $, or $ xy^{1/2} $.

### Interactive Tool

The interactive tool provided on this page features a visual representation to help you input fractional exponents correctly.

- **Input Panel**: There is an input panel where you can type your rewritten expression. The highlighted block (in purple) represents the input box for your answer.
- **Numerical Pad**: Below the input panel, there is a numerical pad with numbers and fractions to assist in typing fractional exponents accurately.

$ 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, -, +, \times, r, y $

You can click on these buttons to build your expression.

### Example Interaction

To complete the exercise:

1. Use the numerical pad to input your answer into the purple input box.

**Correct Answer**: The expression $ \sqrt[3]{x^3} 3 \sqrt{y} $ should be written using fractional exponents as $ xy^{1/2} $.

### Navigation

Once you've entered the expression, proceed by clicking the "NEXT QUESTION" button for further practice or select "ASK FOR HELP" if you need assistance.

**Note:** Make sure to click the trashcan

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