What is the relationship between rational exponents and roots?

Rational exponents indicate roots; for example, $$x^{\frac{1}{n}}$$ is the nth root of x.

Alg 1 - Rational Exponents - Warm-Up Flashcards: 15 Cards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

Write using a rational exponent (assume x is positive): $\sqrt[]{x^{12}}$

Back

$x^6$

2.

FLASHCARD QUESTION

Front

Write using a rational exponent: $\sqrt[5]{x^3}$

Back

$x^{\frac{3}{5}}$

3.

FLASHCARD QUESTION

Front

What is $x^0$ ?

Back

$1$

4.

FLASHCARD QUESTION

Front

Rewrite with a rational exponent: $\sqrt[]{x}$

Back

$x^{\frac{1}{2}}$

5.

FLASHCARD QUESTION

Front

Write using a radical: $x^{\frac{3}{7}}$

Back

$\sqrt[7]{x^3}$

6.

FLASHCARD QUESTION

Front

What does a rational exponent represent?

Back

A rational exponent $\frac{m}{n}$ represents the nth root of $x^m$ .

7.

FLASHCARD QUESTION

Front

Convert $x^{\frac{1}{3}}$ to radical form.

Back

$\sqrt[3]{x}$

8.

FLASHCARD QUESTION

Front

What is the value of $x^{\frac{1}{2}}$ ?

Back

$\sqrt{x}$

9.

FLASHCARD QUESTION

Front

If $x^{\frac{a}{b}}$ , what is the equivalent radical form?

Back

$\sqrt[b]{x^a}$

10.

FLASHCARD QUESTION

Front

What is $\sqrt[4]{x^8}$ in rational exponent form?

Back

$x^{2}$

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Continue with Google

Continue with Email

Continue with Microsoft

or continue with

Facebook

Apple

Others

By signing up, you agree to our Terms of Service & Privacy Policy

Already have an account?

Similar Resources on Wayground

15 questions

Adding, Subtracting and Multiplying Complex numbers

Flashcard

•

9th Grade

15 questions

Algebra 1A Semester Review Part 1

Flashcard

•

9th Grade

15 questions

Estimating Roots

Flashcard

•

8th - 9th Grade

15 questions

Naming Angles

Flashcard

•

9th - 10th Grade

15 questions

Geometric Constructions

Flashcard

•

9th - 10th Grade

15 questions

Math 1 Evaluating and Interpreting Function Notation

Flashcard

•

9th - 10th Grade

15 questions

Equations of Circles

Flashcard

•

9th - 10th Grade

15 questions

Solving System of Equations by graphing

Flashcard

•

9th Grade

Popular Resources on Wayground

21 questions

Continents and Oceans

Quiz

•

6th Grade

20 questions

Parts of Speech

Quiz

•

5th Grade

16 questions

Subject & Predicate

Quiz

•

5th Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

12 questions

Map Skills

Quiz

•

3rd Grade

22 questions

Continents and Oceans

Quiz

•

5th Grade

15 questions

Rounding Decimals

Quiz

•

5th Grade

20 questions

Brand Labels

Quiz

•

5th - 12th Grade

Discover more resources for Mathematics

20 questions

Graphing Inequalities on a Number Line

Quiz

•

6th - 9th Grade

20 questions

Exponent Rules

Quiz

•

8th - 9th Grade

12 questions

Absolute Value Equations

Quiz

•

9th Grade

20 questions

Function or Not a Function

Quiz

•

8th - 9th Grade

15 questions

Linear vs Nonlinear Functions

Quiz

•

8th - 9th Grade

20 questions

Rigid Transformations

Quiz

•

9th Grade

10 questions

Solving Absolute Value Equations

Quiz

•

9th Grade

10 questions

1.4 Distributive Property and Combining Like Terms Alg 1 V1

Quiz

•

9th Grade