We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

Algebra II : Understanding Exponents

Study concepts, example questions & explanations for Algebra II

Create An Account

All Algebra II Resources

10 Diagnostic Tests 630 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #41 : Simple Exponents

Expand:

18^8

Possible Answers:

18*8*8*18

18*8

18*18*18*18*8*8*8*8

8*8*8*8*8*8*8*8*8*8*8*8*8*8*8*8*8*8

18*18*18*18*18*18*18*18

Correct answer:

18*18*18*18*18*18*18*18

Explanation:

When expanding an exponent, we must multiply the base by itself for the number of indicated by the exponential value.

18^8=18*18*18*18*18*18*18*18

Report an Error

Example Question #14 : Expressions & Equations

Evaluate:

15^3

Possible Answers:

1025

2575

1515

3375

2525

Correct answer:

3375

Explanation:

When expanding an exponent, we must multiply the base by itself for the number of indicated by the exponential value.

15^3 is expanded out to the following:

15*15*15

The product is 3375 .

Report an Error

Example Question #241 : Exponents

Convert $8^{12}$ to base .

Possible Answers:

$4^{24}$

$4^{16}$

$4^{18}$

$4^{20}$

$4^{12}$

Correct answer:

$4^{18}$

Explanation:

First, we know that 8=2^3 .

Apply the power rule of exponents:

(a^m)^n=a^m^n

We can then write the following expression:

$(2^3)^{12}=2^{36}$

Second, we know that 4=2^2 .

By applying the same rule, we will get the following expression:

$(2^2)^x=2^{36}$

Therefore:

2x=36 and x=18

The answer is $4^{18}$ .

Report an Error

Example Question #243 : Understanding Exponents

Change 27^6 to base .

Possible Answers:

$3^{27}$

$3^{18}$

$3^{9}$

$3^{15}$

$3^{12}$

Correct answer:

$3^{18}$

Explanation:

First, we know that 27=3^3 .

Apply the power rule of exponents:

(a^m)^n=a^m^n

We can then write the following expression:

(3^3)^6 or $3^{18}$

Report an Error

Example Question #3377 : Algebra Ii

Convert $8^{12}$ to base .

Possible Answers:

$2^{24}$

$2^{36}$

$2^{40}$

$2^{18}$

$2^{60}$

Correct answer:

$2^{36}$

Explanation:

First, we know that 8=2^3 .

Apply the power rule of exponents:

(a^m)^n=a^m^n

We can then write the following expression:

$(2^3)^{12}=2^{36}$

Report an Error

Example Question #243 : Exponents

Convert 16^9 to base .

Possible Answers:

$8^{13}$

$8^{16}$

$8^{12}$

8^9

$8^{24}$

Correct answer:

$8^{12}$

Explanation:

First, we know that 16=2^4 .

Apply the power rule of exponents:

(a^m)^n=a^m^n

We can then write the following expression:

$(2^4)^{9}=2^{36}$

Second, we know that 8=2^3 .

By applying the same rule, we will get the following expression:

$(2^3)^x=2^{36}$

Therefore:

3x=36

Simplify and solve for .

x=12

The answer is $8^{12}$ .

Report an Error

Example Question #42 : Simple Exponents

Expand 11^4

Possible Answers:

4*4*4*11*11*11

11*11*11*11

11^4*11^4*11^4*11^4

4*4*4*4*4*4*4*4*4*4*4

11*4

Correct answer:

11*11*11*11

Explanation:

When expanding exponents, we repeat the base by the exponential value.

11^4=11*11*11*11

Report an Error

Example Question #43 : Simple Exponents

Expand 2^7

Possible Answers:

7*7

2*7

2*2*7*7

2*2*2*2*2*2*2

2^7*2^7*2^7*2^7*2^7*2^7*2^7

Correct answer:

2*2*2*2*2*2*2

Explanation:

When expanding exponents, we repeat the base by the exponential value.

2^7= 2*2*2*2*2*2*2

Report an Error

Example Question #246 : Exponents

Expand $\frac{1}{2}^8$

Possible Answers:

8*8*8*8*8*8*8*8

$\frac{1}{2}*\frac{1}{2}*\frac{1}{2}*\frac{1}{2}*\frac{1}{2}*\frac{1}{2}*\frac{1}{2}*\frac{1}{2}$

$\frac{1}{2}^8*8$

$\frac{1}{2}^8*\frac{1}{2}^8*\frac{1}{2}^8*\frac{1}{2}^8*\frac{1}{2}^8*\frac{1}{2}^8*\frac{1}{2}^8*\frac{1}{2}^8$

$\frac{1}{2}*\frac{1}{2}*8*8$

Correct answer:

$\frac{1}{2}*\frac{1}{2}*\frac{1}{2}*\frac{1}{2}*\frac{1}{2}*\frac{1}{2}*\frac{1}{2}*\frac{1}{2}$

Explanation:

When expanding exponents, we repeat the base by the exponential value.

$\frac{1}{2}^8=\frac{1}{2}*\frac{1}{2}*\frac{1}{2}*\frac{1}{2}*\frac{1}{2}*\frac{1}{2}*\frac{1}{2}*\frac{1}{2}$

Report an Error

Example Question #51 : Simple Exponents

Expand (-4)^3

Possible Answers:

3*3*3*3

-4*3

(-4)^3*(-4)^3*(-4)^3

-4*-4*-4

4*4*4

Correct answer:

-4*-4*-4

Explanation:

When expanding exponents, we repeat the base by the exponential value.

(-4)^3=-4*-4*-4

Report an Error

View Algebra 2 Tutors

MEER
Certified Tutor

IIT , Master's/Graduate, Microelectronics .

View Algebra 2 Tutors

Margaret
Certified Tutor

View Algebra 2 Tutors

Lucciana
Certified Tutor

Miami Dade College, Bachelor of Science, Biology, General.

All Algebra II Resources

10 Diagnostic Tests 630 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

GRE Tutors in Washington DC, ACT Tutors in Boston, SSAT Tutors in Houston, GRE Tutors in Phoenix, MCAT Tutors in Dallas Fort Worth, French Tutors in San Francisco-Bay Area, English Tutors in Miami, GRE Tutors in Los Angeles, French Tutors in Philadelphia, LSAT Tutors in Los Angeles

Popular Courses & Classes

SAT Courses & Classes in San Diego, ISEE Courses & Classes in New York City, GRE Courses & Classes in Phoenix, Spanish Courses & Classes in Philadelphia, GMAT Courses & Classes in Denver, ISEE Courses & Classes in Dallas Fort Worth, ACT Courses & Classes in San Diego, ACT Courses & Classes in Los Angeles, MCAT Courses & Classes in Chicago, ACT Courses & Classes in Seattle

Popular Test Prep

ACT Test Prep in Los Angeles, GRE Test Prep in Chicago, GRE Test Prep in Dallas Fort Worth, ISEE Test Prep in Houston, ISEE Test Prep in Dallas Fort Worth, ACT Test Prep in Chicago, ISEE Test Prep in New York City, ISEE Test Prep in Denver, MCAT Test Prep in Chicago, SSAT Test Prep in Denver

DMCA Complaint

If you believe that content available by means of the Website (as defined in our Terms of Service) infringes one or more of your copyrights, please notify us by providing a written notice (“Infringement Notice”) containing the information described below to the designated agent listed below. If Varsity Tutors takes action in response to an Infringement Notice, it will make a good faith attempt to contact the party that made such content available by means of the most recent email address, if any, provided by such party to Varsity Tutors.

Your Infringement Notice may be forwarded to the party that made the content available or to third parties such as ChillingEffects.org.

Please be advised that you will be liable for damages (including costs and attorneys’ fees) if you materially misrepresent that a product or activity is infringing your copyrights. Thus, if you are not sure content located on or linked-to by the Website infringes your copyright, you should consider first contacting an attorney.

Please follow these steps to file a notice:

You must include the following:

A physical or electronic signature of the copyright owner or a person authorized to act on their behalf; An identification of the copyright claimed to have been infringed; A description of the nature and exact location of the content that you claim to infringe your copyright, in \ sufficient detail to permit Varsity Tutors to find and positively identify that content; for example we require a link to the specific question (not just the name of the question) that contains the content and a description of which specific portion of the question – an image, a link, the text, etc – your complaint refers to; Your name, address, telephone number and email address; and A statement by you: (a) that you believe in good faith that the use of the content that you claim to infringe your copyright is not authorized by law, or by the copyright owner or such owner’s agent; (b) that all of the information contained in your Infringement Notice is accurate, and (c) under penalty of perjury, that you are either the copyright owner or a person authorized to act on their behalf.

Send your complaint to our designated agent at:

Charles Cohn Varsity Tutors LLC
101 S. Hanley Rd, Suite 300
St. Louis, MO 63105

Or fill out the form below:

Do not fill in this field

Contact Information

* Full legal name

Company name

* Phone number

* Email address

Address

* Address1

Address2

* City

* State

* Zipcode

* Country

Complaint Details

* URL of copyrighted work (where your original material is located)

* Please describe the copyrighted work so that it may be easily identified

I am the owner, or an agent authorized to act on behalf of the owner of an exclusive right that is allegedly infringed.

I have a good faith belief that the use of the material in the manner complained of is not authorized by the copyright owner, its agent, or the law.

This notification is accurate.

I acknowledge that there may be adverse legal consequences for making false or bad faith allegations of copyright infringement by using this process.

* Signature (your digital signature is legally binding)

HIGH SCHOOL

GRADUATE SCHOOL

K-8

Search 50+ Tests

math tutoring

science tutoring

foreign languages

elementary tutoring

other

Search 350+ Subjects

Algebra II : Understanding Exponents

Study concepts, example questions & explanations for Algebra II

All Algebra II Resources

Example Questions

Example Question #41 : Simple Exponents

Example Question #14 : Expressions & Equations

Example Question #241 : Exponents

Example Question #243 : Understanding Exponents

Example Question #3377 : Algebra Ii

Example Question #243 : Exponents

Example Question #42 : Simple Exponents

Example Question #43 : Simple Exponents

Example Question #246 : Exponents

Example Question #51 : Simple Exponents

All Algebra II Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: