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

$$\sqrt{x}$$ (Square Root as Exponent)

What is $$(2x^3)^2$$ ?

$$4x^6$$ (Power of a Product Rule)

What is the area of a rectangle with sides $$2x^2y$$ and $$5xy^3$$ ?

$$10x^{2+1}y^{1+3} = 10x^3y^4$$ (Area = length × width)

What is $$x^3 \cdot x^2 \cdot x^{-4}$$ ?

$$x^{3+2-4} = x^1 = x$$ (Exponent Product Rule)

What is the value of $$x^{3/2}$$ ?

$$\sqrt{x^3} = x\sqrt{x}$$ (Square Root as Exponent)

Exponent Product And Power Rules

Exponent Product and Power Rules

Flashcard

•

Mathematics

•

8th - 9th Grade

•

Practice Problem

•

Hard

•

CCSS

8.EE.A.1, HSA.APR.A.1

Standards-aligned

Wayground Content

FREE Resource

Student preview

15 questions

Show all answers

FLASHCARD QUESTION

Front

What is the product of $x^a$ and $x^b$ ?

Back

$x^{a+b}$ (Exponent Product Rule)

Tags

CCSS.8.EE.A.1

FLASHCARD QUESTION

Front

What is the power of $(x^a)^b$ ?

Back

$x^{a \cdot b}$ (Power of a Power Rule)

Tags

CCSS.8.EE.A.1

FLASHCARD QUESTION

Front

What is the area of a rectangle with sides $x^2$ and $x^3$ ?

Back

$x^{2+3} = x^5$ (Area = length × width)

Tags

CCSS.HSA.APR.A.1

FLASHCARD QUESTION

Front

What is $x^0$ equal to?

Back

1 (Any non-zero number raised to the power of zero is 1)

Tags

CCSS.8.EE.A.1

FLASHCARD QUESTION

Front

What is the value of $x^{-n}$ ?

Back

$\frac{1}{x^n}$ (Negative Exponent Rule)

Tags

CCSS.8.EE.A.1

FLASHCARD QUESTION

Front

What is $x^3 \cdot x^4$ ?

Back

$x^{3+4} = x^7$ (Exponent Product Rule)

Tags

CCSS.8.EE.A.1

FLASHCARD QUESTION

Front

What is $\frac{x^5}{x^2}$ ?

Back

$x^{5-2} = x^3$ (Exponent Quotient Rule)

Tags

CCSS.8.EE.A.1

FLASHCARD QUESTION

Front

What is the area of a rectangle with sides $3x^2$ and $4x^3$ ?

Back

$12x^{2+3} = 12x^5$ (Area = length × width)

Tags

CCSS.HSA.APR.A.1

FLASHCARD QUESTION

Front

What is $(xy)^3$ ?

Back

$x^3y^3$ (Power of a Product Rule)

Tags

CCSS.8.EE.A.1

10.

FLASHCARD QUESTION

Front

What is $x^2 \cdot x^{-5}$ ?

Back

$x^{2-5} = x^{-3}$ (Exponent Product Rule)

Tags

CCSS.8.EE.A.1

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

10 questions

Noun suffixes -ness, -dom, -ship

Flashcard

•

7th - 8th Grade

13 questions

Spreadsheets

Flashcard

•

8th Grade

15 questions

Easy Algebra Review

Flashcard

•

9th - 10th Grade

15 questions

Bacteria

Flashcard

•

9th Grade

15 questions

Cells and Organelles

Flashcard

•

9th Grade

11 questions

Monomios e Polinomios

Flashcard

•

8th Grade

10 questions

Reflexive Verbs in Spanish

Flashcard

•

9th Grade

13 questions

Tell-Tale Heart | Chinook 8th Grade

Flashcard

•

8th 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

Rational and Irrational Numbers

Quiz

•

8th Grade

20 questions

Add and Subtract Integers

Quiz

•

6th - 8th Grade

25 questions

Linear vs Nonlinear Functions

Quiz

•

8th Grade

20 questions

Graphing Inequalities on a Number Line

Quiz

•

6th - 9th Grade

20 questions

Slope from a Graph

Quiz

•

8th Grade

20 questions

Parallel Lines & Transversals Angle Relationships Test 11/2/22

Quiz

•

8th Grade

15 questions

Explore Real Numbers and Their Properties

Quiz

•

8th Grade

20 questions

Slope Intercept Form

Quiz

•

7th - 8th Grade