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

Hard

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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)