Call Now to Set Up Tutoring:

(888) 888-0446

Algebra II : 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 #3563 : Algebra Ii

Simplify:

$10^{50}\div10^{-20}$

Possible Answers:

$10^{-100}$

$10^{70}$

$10^{40}$

$10^{30}$

$10^{-30}$

Correct answer:

$10^{70}$

Explanation:

When exponents with the same base are divided, we will simply subtract the exponents and keep the base the same.

Divide:

$10^{50}\div10^{-20}=10^{50-(-20)}=10^{70}$

Report an Error

Example Question #3564 : Algebra Ii

Simplify:

$24^{-23}\div23^{-25}$

Possible Answers:

23^4

23^6

$23^{-4}$

23^2

$23^{-2}$

Correct answer:

23^2

Explanation:

When exponents with the same base are divided, we will simply subtract the exponents and keep the base the same.

Divide:

$24^{-23}\div23^{-25}=23^{-23-(-25)}=23^2$

Report an Error

Example Question #102 : Multiplying And Dividing Exponents

Simplify:

36^4*6^7

Possible Answers:

$6^{36}$

$6^{15}$

$6^{38}$

$6^{56}$

$6^{28}$

Correct answer:

$6^{15}$

Explanation:

Even though we have different bases, we know that the following:

36=6^2

When an exponent is raised by another exponent, we will multiply the exponents and keep the base the same.

Simplify:

(6^2)^4=6^8

When exponents with the same base are multiplied together, we we will simply add the exponents and keep the base the same.

Multiply:

$6^8*6^7=6^{15}$

Report an Error

Example Question #103 : Multiplying And Dividing Exponents

Simplify:

$4^{17}\div2^{-9}$

Possible Answers:

$2^{19}$

$2^{306}$

$2^{23}$

$2^{37}$

$2^{43}$

Correct answer:

$2^{43}$

Explanation:

Even though we have different bases, we know that the following:

4=2^2

When an exponent is raised by another exponent, we will multiply the exponents and keep the base the same.

Simplify:

$(2^2)^{17}=2^{34}$

When exponents with the same base are divided, we will simply subtract the exponents and keep the base the same.

Divide:

$2^{34}\div2^{-9}=2^{43}$

Report an Error

Example Question #3565 : Algebra Ii

Simplify the expression $\frac{x^7y^5z^9j^4}{x^9y^4z^8j^6}$ .

Possible Answers:

The expression cannot be simplified.

$x^{16}y^9z^{17}j^{10}$

$\frac{x^2j^2}{yz}$

$\frac{yz}{x^2j^2}$

$\frac{y^2z^2}{x^3j^2}$

Correct answer:

$\frac{yz}{x^2j^2}$

Explanation:

Subtract the lower number exponent from the higher. The term does in the numerator or denominator depending on which has the higher degree. The x term has degree 7 in numerator and degree 9 in denominator, so the difference (9-7) goes in the denominator.

$\frac{x^7y^5z^9j^4}{x^9y^4z^8j^6}=\frac{y^{5-4}z^{9-8}}{x^{9-7}j^{6-4}}=\frac{yz}{x^2j^2}$

Report an Error

Example Question #3566 : Algebra Ii

Simplify: $12^{8}*12^{-8}$

Possible Answers:

$12^{16}$

$12^{24}$

$12^{-16}$

$12^{-64}$

Correct answer:

Explanation:

When multiplying exponents with the same base, we just add the exponents and keep the base the same.

$12^{8}*12^{-8}=12^{8+(-8)}=12^0=1$

Report an Error

Example Question #3567 : Algebra Ii

Simplify: $10^7*10^{12}$

Possible Answers:

$10^{84}$

$10^{34}$

$10^{9}$

$10^{29}$

$10^{19}$

Correct answer:

$10^{19}$

Explanation:

When multiplying exponents with the same base, we just add the exponents and keep the base the same.

$10^7*10^{12}=10^{7+12}=10^{19}$

Report an Error

Example Question #3568 : Algebra Ii

Simplify: $13^{-14}*13^{-2}$

Possible Answers:

$13^{-16}$

$13^{16}$

$13^{28}$

$13^{46}$

$13^{-28}$

Correct answer:

$13^{-16}$

Explanation:

When multiplying exponents with the same base, we just add the exponents and keep the base the same.

$13^{-14}*13^{-2}=13^{-14+(-2)}=13^{-16}$

Report an Error

Example Question #431 : Exponents

Simplify: $15^{6}\div15^{18}$

Possible Answers:

$15^{\frac{1}{3}}$

$15^{-24}$

$15^{-12}$

$15^{-\frac{1}{3}}$

$15^{-3}$

Correct answer:

$15^{-12}$

Explanation:

When dividing exponents with the same base, we subtract the exponents and keep the base the same.

$15^{6}\div15^{18}=15^{6-18}=15^{-12}$

Report an Error

Example Question #432 : Exponents

Simplify: $12^{19}\div12^7$

Possible Answers:

$12^{12}$

$12^{26}$

$12^{-26}$

$12^{-12}$

$12^{4}$

Correct answer:

$12^{12}$

Explanation:

When dividing exponents with the same base, we subtract the exponents and keep the base the same.

$12^{19}\div12^7=12^{19-7}=12^{12}$

Report an Error

View Algebra 2 Tutors

Evgenii
Certified Tutor

View Algebra 2 Tutors

Jennifer
Certified Tutor

California State University-Sacramento, Bachelor in Arts, Education.

View Algebra 2 Tutors

Godswill
Certified Tutor

Rivers State University, Bachelor of Engineering, Mechanical Engineering. Texas Southern University, Master of Science, Compu...

All Algebra II Resources

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

Popular Subjects

GRE Tutors in Los Angeles, Reading Tutors in Chicago, SSAT Tutors in Washington DC, GMAT Tutors in Dallas Fort Worth, MCAT Tutors in Phoenix, Spanish Tutors in Washington DC, LSAT Tutors in Boston, ACT Tutors in Los Angeles, LSAT Tutors in Philadelphia, French Tutors in San Francisco-Bay Area

Popular Courses & Classes

GMAT Courses & Classes in Los Angeles, SSAT Courses & Classes in San Diego, SAT Courses & Classes in Denver, ACT Courses & Classes in Denver, GMAT Courses & Classes in Atlanta, Spanish Courses & Classes in Philadelphia, GRE Courses & Classes in Philadelphia, Spanish Courses & Classes in Seattle, GMAT Courses & Classes in Denver, Spanish Courses & Classes in Houston

Popular Test Prep

GMAT Test Prep in Atlanta, GRE Test Prep in Dallas Fort Worth, MCAT Test Prep in Los Angeles, LSAT Test Prep in Denver, GRE Test Prep in Houston, SSAT Test Prep in Atlanta, GMAT Test Prep in Chicago, ACT Test Prep in Chicago, GRE Test Prep in Phoenix, ISEE Test Prep in Atlanta

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 : Exponents

Study concepts, example questions & explanations for Algebra II

All Algebra II Resources

Example Questions

Example Question #3563 : Algebra Ii

Example Question #3564 : Algebra Ii

Example Question #102 : Multiplying And Dividing Exponents

Example Question #103 : Multiplying And Dividing Exponents

Example Question #3565 : Algebra Ii

Example Question #3566 : Algebra Ii

Example Question #3567 : Algebra Ii

Example Question #3568 : Algebra Ii

Example Question #431 : Exponents

Example Question #432 : Exponents

All Algebra II Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: