What is the expression for raising a quotient to a power?

The expression is $$ \frac{a}{b}^n = \frac{a^n}{b^n} $$ .

What is the value of $$ (6^{-4})^{-2} $$ ?

Using the power of a power rule, $$ (6^{-4})^{-2} = 6^{-4 \times -2} = 6^8 $$ .

What is the expression for a negative exponent?

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

What is the equivalent expression for $$ \frac{(6^{-4})^{-2}}{6^2} $$ ?

Using the rules of exponents, this simplifies to $$ 6^{6} $$ .

What is the value of $$ 4^3 \times 4^3 $$ ?

Using the product of powers rule, this equals $$ 4^{3+3} = 4^6 $$ .

What happens when you multiply two powers with different bases?

You cannot combine them using exponent rules unless they have the same base.

What is the result of $$ 5^0 $$ ?

The result is 1, as any non-zero number raised to the power of zero equals 1.

What is the expression for raising a base to a negative exponent?

The expression is $$ a^{-n} = \frac{1}{a^n} $$ .

Properties of Exponents Review Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the product of two powers with the same base?

Back

2.

FLASHCARD QUESTION

Front

What is the value of any non-zero number raised to the power of zero?

Back

3.

FLASHCARD QUESTION

Front

What is the power of a power rule in exponents?

Back

4.

FLASHCARD QUESTION

Front

What is the quotient of two powers with the same base?

Back

5.

FLASHCARD QUESTION

Front

What is the expression for multiplying two identical bases raised to exponents?

Back

6.

FLASHCARD QUESTION

Front

What is the expression for dividing two identical bases raised to exponents?

Back

7.

FLASHCARD QUESTION

Front

What is the expression for raising a product to a power?

Back

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 Classlink

Continue with Clever

or continue with

Microsoft

Apple

Others

Already have an account?

Similar Resources on Wayground

10 questions

Organelles

Flashcard

•

6th - 8th Grade

15 questions

Thermal Energy Transfer 24-25

Flashcard

•

7th Grade

15 questions

Solving One Step Equations with Addition or Subtraction

Flashcard

•

6th - 7th Grade

9 questions

Advantages of Cloud Storage

Flashcard

•

9th - 10th Grade

11 questions

Linear Equations Review

Flashcard

•

8th Grade

15 questions

Solving Linear Equations

Flashcard

•

8th Grade

15 questions

8.1 OpenSciEd Flashcard

Flashcard

•

8th Grade

15 questions

Final Test

Flashcard

•

8th Grade

Popular Resources on Wayground

20 questions

STAAR Review Quiz #3

Quiz

•

8th Grade

20 questions

Equivalent Fractions

Quiz

•

3rd Grade

6 questions

Marshmallow Farm Quiz

Quiz

•

2nd - 5th Grade

20 questions

Main Idea and Details

Quiz

•

5th Grade

20 questions

Context Clues

Quiz

•

6th Grade

20 questions

Inferences

Quiz

•

4th Grade

19 questions

Classifying Quadrilaterals

Quiz

•

3rd Grade

12 questions

What makes Nebraska's government unique?

Quiz

•

4th - 5th Grade

Discover more resources for Mathematics

15 questions

Pythagorean Theorem Word Problems Quizizz

Quiz

•

8th Grade

20 questions

Graphing Inequalities on a Number Line

Quiz

•

6th - 9th Grade

20 questions

Scatter Plots and Line of Best Fit

Quiz

•

8th Grade

10 questions

Pythagorean Theorem and its Converse

Quiz

•

7th - 9th Grade

20 questions

Pythagorean Theorem Review

Quiz

•

8th Grade

11 questions

8.12D Simple & Compound Interest

Quiz

•

8th Grade

72 questions

8th Grade SS Q3 Study Guide

Quiz

•

8th Grade

20 questions

Function or Not a Function

Quiz

•

8th - 9th Grade