Call Now to Set Up Tutoring:

(888) 888-0446

College Algebra : Integer Exponents

Study concepts, example questions & explanations for College Algebra

Create An Account

All College Algebra Resources

5 Diagnostic Tests 84 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #11 : Integer Exponents

$x^{8}*x^{4}=$

Possible Answers:

$x^{2}$

32x

$x^{32}$

$x^{12}$

$x^{4}$

Correct answer:

$x^{12}$

Explanation:

When similar terms raised to n are multiplied, simply add the exponents. Thus

$x^{8}*x^{4}=x^{8+4}=x^{12}$

Report an Error

Example Question #12 : Integer Exponents

$\frac{x^{6}}{x^{3}}=$

Possible Answers:

x^3

$x^{1/2}$

$x^{27}$

$x^{12}$

x^9

Correct answer:

x^3

Explanation:

When similar terms raised to n are divided, subtract the exponents. Thus

$\frac{x^{6}}{x^{3}}=x^{6-3}=x^3$

Report an Error

Example Question #13 : Integer Exponents

$\frac{x^{10}}{x^{6}}=$

Possible Answers:

$x^{16}$

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

x^4

$x^{60}$

60x

Correct answer:

x^4

Explanation:

When similar terms raised to n are divided, subtract the exponents. Thus

$\frac{x^{10}}{x^{6}}=x^{10-6}=x^4$

Report an Error

Example Question #14 : Integer Exponents

$\frac{x^{12}}{x^{7}}=$

Possible Answers:

$x^{1.7}$

x^5

$x^{84}$

$x^{19}$

$x^{72}$

Correct answer:

x^5

Explanation:

When similar terms raised to n are divided, subtract the exponents. Thus

$\frac{x^{12}}{x^{7}}=x^{12-7}=x^5$

Report an Error

Example Question #15 : Integer Exponents

(x^4)^6=

Possible Answers:

$x^{12}$

x^2

$x^{24}$

$x^{10}$

$x^{-2}$

Correct answer:

$x^{24}$

Explanation:

When a term with an exponent is raised to another power, multiply the exponents. Thus

$(x^4)^6=x^{4*6}=x^{24}$

Report an Error

Example Question #16 : Integer Exponents

(x^3)^2=

Possible Answers:

$x^{2/3}$

x^6

x^5

Correct answer:

x^6

Explanation:

When a term with an exponent is raised to another power, multiply the exponents. Thus

$(x^3)^2=x^{3*2}=x^6$

Report an Error

Example Question #17 : Integer Exponents

(x^2)^5=

Possible Answers:

$x^{-3}$

5x^2

$x^{10}$

x^3

$x^{7}$

Correct answer:

$x^{10}$

Explanation:

When a term with an exponent is raised to another power, multiply the exponents. Thus

$(x^2)^5=x^{2*5}=x^{10}$

Report an Error

Example Question #18 : Integer Exponents

$\sqrt[5]{x^{10}}=$

Possible Answers:

$x^{15}$

$x^{50}$

$10x^{5}$

x^2

x^5

Correct answer:

x^2

Explanation:

The root of x^y is y/n . Thus

$\sqrt[5]{x^{10}}=x^{10/5}=x^2$

Report an Error

Example Question #19 : Integer Exponents

$\sqrt[3]{x^{21}}=$

Possible Answers:

$x^{18}$

$x^{24}$

x^7

$3x^{21}$

$x^{63}$

Correct answer:

x^7

Explanation:

The root of x^y is y/n . Thus

$\sqrt[3]{x^{21}}=x^{21/3}=x^7$

Report an Error

Example Question #20 : Review And Other Topics

$\sqrt[4]{x^{64}}=$

Possible Answers:

$\frac{x^{64}}{4}$

$x^{60}$

$x^{68}$

$6x^{10}$

$x^{16}$

Correct answer:

$x^{16}$

Explanation:

The root of x^y is $x^{\frac{y}{n}}$ thus

$\sqrt[4]{x^{64}}=x^{64/4}=x^{16}$

Report an Error

View College Algebra Tutors

Rohit K
Certified Tutor

Punjab Tech. University, Bachelor of Technology, Mechanical Engineering. Punjab Engineering College, Master of Engineering, M...

View College Algebra Tutors

Salah
Certified Tutor

Saint Mary's University of Minnesota, Bachelor of Technology, Computer Software Engineering.

View College Algebra Tutors

Obianuju
Certified Tutor

University of Miami, Bachelor of Science, Biomedical Engineering.

All College Algebra Resources

5 Diagnostic Tests 84 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Biology Tutors in Chicago, Chemistry Tutors in San Francisco-Bay Area, Spanish Tutors in Chicago, ACT Tutors in Seattle, LSAT Tutors in Washington DC, Spanish Tutors in Houston, SAT Tutors in New York City, SSAT Tutors in Dallas Fort Worth, Algebra Tutors in Boston, GRE Tutors in New York City

Popular Courses & Classes

ACT Courses & Classes in Boston, ACT Courses & Classes in Los Angeles, GMAT Courses & Classes in New York City, MCAT Courses & Classes in New York City, LSAT Courses & Classes in Atlanta, SSAT Courses & Classes in Washington DC, ISEE Courses & Classes in San Diego, ISEE Courses & Classes in Seattle, ACT Courses & Classes in San Francisco-Bay Area, SSAT Courses & Classes in Denver

Popular Test Prep

ACT Test Prep in San Francisco-Bay Area, ISEE Test Prep in Denver, SSAT Test Prep in San Diego, MCAT Test Prep in Phoenix, LSAT Test Prep in Denver, MCAT Test Prep in San Francisco-Bay Area, ACT Test Prep in Los Angeles, LSAT Test Prep in Chicago, ISEE Test Prep in Boston, ISEE Test Prep in San Diego

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

College Algebra : Integer Exponents

Study concepts, example questions & explanations for College Algebra

All College Algebra Resources

Example Questions

Example Question #11 : Integer Exponents

Example Question #12 : Integer Exponents

Example Question #13 : Integer Exponents

Example Question #14 : Integer Exponents

Example Question #15 : Integer Exponents

Example Question #16 : Integer Exponents

Example Question #17 : Integer Exponents

Example Question #18 : Integer Exponents

Example Question #19 : Integer Exponents

Example Question #20 : Review And Other Topics

All College Algebra Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: