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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Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

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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