Simplify the expression: 2x^6y^12

The expression is already simplified.

What is the definition of an exponent?

An exponent indicates how many times a number (the base) is multiplied by itself.

What does $$a^m \times a^n = a^{m+n}$$ represent?

This represents the product of powers rule in exponent laws.

What does $$\frac{a^m}{a^n} = a^{m-n}$$ represent?

This represents the quotient of powers rule in exponent laws.

Exponent Laws Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the product of powers rule in exponent laws?

Back

When multiplying two powers with the same base, add the exponents: $a^m \times a^n = a^{m+n}$ .

2.

FLASHCARD QUESTION

Front

What is the power of a power rule in exponent laws?

Back

When raising a power to another power, multiply the exponents: $(a^m)^n = a^{m \times n}$ .

3.

FLASHCARD QUESTION

Front

What is the quotient of powers rule in exponent laws?

Back

When dividing two powers with the same base, subtract the exponents: $\frac{a^m}{a^n} = a^{m-n}$ .

4.

FLASHCARD QUESTION

Front

What is the zero exponent rule in exponent laws?

Back

Any non-zero base raised to the power of zero equals one: $a^0 = 1$ (where a ≠ 0).

5.

FLASHCARD QUESTION

Front

What is the negative exponent rule in exponent laws?

Back

A negative exponent indicates the reciprocal of the base raised to the opposite positive exponent: $a^{-n} = \frac{1}{a^n}$ .

6.

FLASHCARD QUESTION

Front

Simplify: $2(x^2 + 4x - 5) - (6 + x^2)$

Back

$x^2 + 4x - 16$ .

7.

FLASHCARD QUESTION

Front

Simplify: $\frac{a^7}{b^3}^2$

Back

$\frac{a^{14}}{b^6}$ .

8.

FLASHCARD QUESTION

Front

Simplify: $(x^5)^4$

Back

$x^{20}$ .

9.

FLASHCARD QUESTION

Front

Simplify: $\frac{3x^4}{y^6}^5$

Back

$\frac{243x^{20}}{y^{30}}$ .

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

Do or does

Flashcard

•

6th Grade

10 questions

Adding Integer Word problems

Flashcard

•

7th - 8th Grade

10 questions

7th Unit 2 Lessons 9/10 Vocab

Flashcard

•

7th Grade

10 questions

PUBLIC FACILITIES

Flashcard

•

8th Grade

10 questions

Text Structure Review

Flashcard

•

6th - 8th Grade

12 questions

Coordinating and Subordinating Conjunctions

Flashcard

•

6th - 8th Grade

15 questions

Informational Writing

Flashcard

•

7th Grade

15 questions

Rhetoric and Persuasion

Flashcard

•

8th Grade

Popular Resources on Wayground

10 questions

How much do you know about our Portrait of an Eagle?

Quiz

•

10th Grade

10 questions

Fast Food Slogans

Quiz

•

6th - 8th Grade

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

Discover more resources for Mathematics

16 questions

Proportional and Non Proportional Relationships in Tables, Graphs, and Equations

Quiz

•

7th Grade

22 questions

Explore Rational Number Operations and Applications

Quiz

•

7th Grade

20 questions

Add and Subtract Integers

Quiz

•

6th - 8th Grade

20 questions

Graphing Inequalities on a Number Line

Quiz

•

6th - 9th Grade

20 questions

Perfect Squares and Square Roots

Quiz

•

7th Grade

13 questions

Multi Step Solving Equations with Variables on Both Sides

Quiz

•

7th Grade

16 questions

Adding and Subtracting Integers

Quiz

•

7th Grade

22 questions

Adding Integers

Quiz

•

7th - 8th Grade