Call Now to Set Up Tutoring:

(888) 888-0446

Algebra II : Multiplying and Dividing 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 #81 : Multiplying And Dividing Exponents

Simplify: $4^7*4^{12}$

Possible Answers:

$4^{19}$

$4^{36}$

$4^{24}$

$4^{28}$

$4^{84}$

Correct answer:

$4^{19}$

Explanation:

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

$4^{7}*4^{12}=4^{7+12}=4^{19}$

Report an Error

Example Question #82 : Multiplying And Dividing Exponents

Simplify: $5^{17}*5^{23}$

Possible Answers:

$5^{42}$

$5^{391}$

$5^{235}$

$5^{40}$

$5^{50}$

Correct answer:

$5^{40}$

Explanation:

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

$5^{17}*5^{23}=5^{17+23}=5^{40}$

Report an Error

Example Question #83 : Multiplying And Dividing Exponents

Simplify: $\frac{6^{48}}{6^{12}}$

Possible Answers:

$6^{24}$

$6{^{36}}$

$6^{22}$

$6^{4}$

$6^{30}$

Correct answer:

$6{^{36}}$

Explanation:

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

$\frac{6^{48}}{6^{12}}=6^{48-12}=6^{36}$

Report an Error

Example Question #84 : Multiplying And Dividing Exponents

Simplify: $\frac{8^{60}}{8^{-12}}$

Possible Answers:

$8^{-720}$

$8^{72}$

$8^{48}$

$8^{80}$

$8^{64}$

Correct answer:

$8^{72}$

Explanation:

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

$\frac{8^{60}}{8^{-12}}=8^{60-(-12)}=8^{72}$

Report an Error

Example Question #85 : Simplifying Exponents

Simplify the following:

(2a^2b^8c)(8bc^7)

Possible Answers:

16a^2b^9c^8

16b^8c^7

16b^9c^8

16a^2b^9c^7

16a^2b^8c^7

Correct answer:

16a^2b^9c^8

Explanation:

Remembering the exponent rule of multiplication:

$x^m*x^n=x^{m+n}$

Therefore:

(2a^2b^8c)(8bc^7)

Becomes:

$2*8a^2b^{8+1}c^{1+7}$

Which gives the final answer:

16a^2b^9c^8

Report an Error

Example Question #86 : Simplifying Exponents

Simplify:

$\frac{12a^6b^2c^3}{4ab^7c^6}$

Possible Answers:

$\frac{3a^6b}{c^3}$

3a^5b^5c^3

$\frac{a^5}{3b^5c^3}$

$\frac{4a^5}{b^5c^3}$

$\frac{3a^5}{b^5c^3}$

Correct answer:

$\frac{3a^5}{b^5c^3}$

Explanation:

Using the exponent rules:

$\frac{x^m}{x^n}=x^{m-n}$

and:

$x^{-m}=\frac{1}{x^m}$

Gives:

$(12/4)a^{6-1}b^{2-7}c^{3-6}=3a^5b^{-5}c^{-3}=\frac{3a^5}{b^5c^3}$

Report an Error

Example Question #85 : Multiplying And Dividing Exponents

Simplify: $15^8*15^{12}$

Possible Answers:

$225^{96}$

$15^{20}$

$15^{24}$

$15^{96}$

$225^{20}$

Correct answer:

$15^{20}$

Explanation:

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

$15^8*15^{12}=15^{8+12}=15^{20}$

Report an Error

Example Question #86 : Multiplying And Dividing Exponents

Simplify: $12^{-12}*12^{-9}$

Possible Answers:

12^7

$12^{-3}$

$12^{-14}$

$12^{-21}$

$12^{108}$

Correct answer:

$12^{-21}$

Explanation:

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

$12^{-12}*12^{-9}=12^{-12+(-9)}=12^{-21}$

Report an Error

Example Question #87 : Multiplying And Dividing Exponents

Simplify: $3^{-10}*3^{19}$

Possible Answers:

3^7

3^9

$3^{-29}$

$3^{-90}$

$3^{-19}$

Correct answer:

3^9

Explanation:

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

$3^{-10}*3^{19}=3^{-10+19}=3^9$

Report an Error

Example Question #88 : Multiplying And Dividing Exponents

Simplify: $6^{88}\div6^{44}$

Possible Answers:

6^2

$6^{11}$

$6^{48}$

$6^{44}$

$6^{22}$

Correct answer:

$6^{44}$

Explanation:

When dividing exponents with the same base, we subtract the exponents while keeping the base the same.

$6^{88}\div6^{44}=6^{88-44}=6^{44}$

Report an Error

View Algebra 2 Tutors

Yucheng
Certified Tutor

The University of Texas at Austin, Bachelor of Science, Mechanical Engineering.

View Algebra 2 Tutors

John
Certified Tutor

The University of Texas at Arlington, Bachelor of Science, Mathematics. Stanford University, Master of Science, Aerospace Eng...

View Algebra 2 Tutors

Daniel
Certified Tutor

Stony Brook University, Bachelors, Biology, General. SUNY College of Optometry, PHD, Optometry.

All Algebra II Resources

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

Popular Subjects

GMAT Tutors in Atlanta, Physics Tutors in Seattle, Biology Tutors in Houston, GMAT Tutors in New York City, LSAT Tutors in San Diego, English Tutors in Phoenix, Calculus Tutors in New York City, French Tutors in San Francisco-Bay Area, GMAT Tutors in Seattle, ISEE Tutors in San Diego

Popular Courses & Classes

Spanish Courses & Classes in Houston, ACT Courses & Classes in Phoenix, ACT Courses & Classes in Denver, GMAT Courses & Classes in Denver, GRE Courses & Classes in Philadelphia, ACT Courses & Classes in Chicago, SSAT Courses & Classes in San Diego, MCAT Courses & Classes in New York City, SAT Courses & Classes in Washington DC, SSAT Courses & Classes in Atlanta

Popular Test Prep

ACT Test Prep in Phoenix, SAT Test Prep in New York City, GMAT Test Prep in Denver, SSAT Test Prep in Chicago, SSAT Test Prep in Washington DC, GRE Test Prep in New York City, SSAT Test Prep in Philadelphia, ACT Test Prep in Los Angeles, MCAT Test Prep in Phoenix, ACT 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

Algebra II : Multiplying and Dividing Exponents

Study concepts, example questions & explanations for Algebra II

All Algebra II Resources

Example Questions

Example Question #81 : Multiplying And Dividing Exponents

Example Question #82 : Multiplying And Dividing Exponents

Example Question #83 : Multiplying And Dividing Exponents

Example Question #84 : Multiplying And Dividing Exponents

Example Question #85 : Simplifying Exponents

Example Question #86 : Simplifying Exponents

Example Question #85 : Multiplying And Dividing Exponents

Example Question #86 : Multiplying And Dividing Exponents

Example Question #87 : Multiplying And Dividing Exponents

Example Question #88 : Multiplying And Dividing Exponents

All Algebra II Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: