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Learn how to rewrite a radical expression to fractional exponents

Learn how to rewrite a radical expression to fractional exponents

Assessment

Interactive Video

Mathematics

11th Grade - University

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video tutorial explains how to rewrite expressions as rational expressions by understanding the radicand, which is within the parentheses. It covers taking the cube root of a term and raising it to the one-third power. The tutorial then demonstrates distributing the exponent to each term, resulting in a final expression of two to the one-third power times Y to the two-thirds power.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the term used to describe the expression inside the radical sign?

Base

Radicand

Exponent

Coefficient

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When taking the cube root of an expression, what power is it equivalent to?

2/3

1/2

1/3

3/2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the expression 2Y squared rewritten using fractional exponents?

2Y^2

2^(1/3) * Y^(2/3)

2^(2/3) * Y^(1/3)

2^(1/2) * Y^(1/2)

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What operation is performed after distributing the power to each term in the expression?

Multiplication

Division

Subtraction

Addition

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final simplified form of the expression after applying the power distribution?

2^(1/3) * Y^(1/3)

2^(2/3) * Y^(2/3)

2^(1/3) * Y^(2/3)

2^(2/3) * Y^(1/3)

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