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 #91 : Simplifying Exponents

Simplify: $19^{18}\div19^{24}$

Possible Answers:

$19^{-4}$

$19^{-8}$

$19^{3}$

$19^{4}$

$19^{-6}$

Correct answer:

$19^{-6}$

Explanation:

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

$19^{18}\div19^{24}=19^{18-24}=19^{-6}$

Report an Error

Example Question #92 : Simplifying Exponents

Simplify: $20^{12}\div20^{-3}$

Possible Answers:

$20^{-9}$

$20^{-4}$

20^8

$20^{15}$

20^9

Correct answer:

$20^{15}$

Explanation:

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

$20^{12}\div20^{-3}=20^{12-(-3)}=20^{15}$

Report an Error

Example Question #3556 : Algebra Ii

Simplify: $2^{18}*4^6$

Possible Answers:

$4^{36}$

$8^{24}$

$2^{24}$

$2^{30}$

$8^{108}$

Correct answer:

$2^{30}$

Explanation:

Although the bases are not the same, we know that 4=2^2 . Therefore, $4^6=(2^2)^6=2^{12}$ . When multiplying exponents with the same base, we just add the exponents and keep the base the same.

$2^{18}*2^{12}=2^{18+12}=2^{30}$

Report an Error

Example Question #94 : Multiplying And Dividing Exponents

Simplify: $27^7\div3^9$

Possible Answers:

$3^{18}$

3^4

3^6

$3^{12}$

Correct answer:

$3^{12}$

Explanation:

Although the base is not the same, we know that 27=3^3 . Therefore $27^7=(3^3)^7=3^{21}$ . When dividing exponents with the same base, we subtract the exponents while keeping the base the same.

$3^{21}\div3^9=3^{21-9}=3^{12}$

Report an Error

Example Question #95 : Multiplying And Dividing Exponents

Simplify:

$\frac{p^7q^4}{p^{-2}q^6}\cdot (p^2q^2)^{-1}$

Possible Answers:

p^7

p^9q^4

$\frac{q^4}{p^7}$

$\frac{p^7}{q^4}$

Correct answer:

$\frac{p^7}{q^4}$

Explanation:

To simplify, we can subtract the numerator and denominator exponents from like terms, with negative exponents in the denominator adding to those in the numerator, and positive ones in the numerator subtracting from those in the denominator:

$\frac{p^9}{q^2}\cdot (p^2q^2)^{-1}$

Next, we can distribute the negative exponent to the terms inside the parentheses (property of exponents):

$\frac{p^9}{q^2}\cdot (p^{-2}q^{-2})$

Finally, add the exponents of the like base terms (property of exponents), because everything is multiplied together, but keep in mind that the q term is in the denominator (so its exponent is negative when in the numerator):

$p^7\cdot q^{-4}=\frac{p^7}{q^4}$

Report an Error

Example Question #93 : Simplifying Exponents

Simplify:

$9^9\div9^{12}$

Possible Answers:

9^3

$9^{-3}$

$9^{21}$

$9^{-21}$

$9^{12}$

Correct answer:

$9^{-3}$

Explanation:

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

Divide:

$9^9\div9^{12}=9^{9-12}=9^{-3}$

Report an Error

Example Question #94 : Simplifying Exponents

Simplify:

8^8*8^8

Possible Answers:

$8^{16}$

$64^{16}$

$64^{64}$

64^8

$8^{64}$

Correct answer:

$8^{16}$

Explanation:

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

Multiply:

$8^8*8^8=8^{8+8}=8^{16}$

Report an Error

Example Question #95 : Simplifying Exponents

Simplify:

$17^5*17^{-6}$

Possible Answers:

$17^{30}$

$17^{-11}$

$17^{-30}$

$17^{-1}$

Correct answer:

$17^{-1}$

Explanation:

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

Multiply:

$17^5*17^{-6}=17^{5+(-6)}=17^{-1}$

Report an Error

Example Question #96 : Simplifying Exponents

Simplify:

$18^{-3}*18^{-4}$

Possible Answers:

$18^{12}$

$18^{-12}$

$18^{-1}$

$18^{-7}$

Correct answer:

$18^{-7}$

Explanation:

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

Multiply:

$18^{-3}*18^{-4}=18^{-3+(-4)}=18^{-7}$

Report an Error

Example Question #97 : Simplifying Exponents

Simplify:

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

Possible Answers:

$10^{70}$

$10^{30}$

$10^{40}$

$10^{-100}$

$10^{-30}$

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

View Algebra 2 Tutors

Saarim
Certified Tutor

St Edwards University, Bachelor of Science, Mathematics.

View Algebra 2 Tutors

Daniel
Certified Tutor

CUNY Bernard M Baruch College, Bachelor of Science, Accounting.

View Algebra 2 Tutors

Troy
Certified Tutor

Rice University, Bachelor in Arts, Kinesiology.

All Algebra II Resources

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

Popular Subjects

Spanish Tutors in Chicago, MCAT Tutors in Miami, SSAT Tutors in Boston, Statistics Tutors in Phoenix, Biology Tutors in Boston, LSAT Tutors in Seattle, LSAT Tutors in Denver, Chemistry Tutors in Seattle, ISEE Tutors in Boston, Reading Tutors in Miami

Popular Courses & Classes

SAT Courses & Classes in Dallas Fort Worth, GMAT Courses & Classes in Chicago, LSAT Courses & Classes in San Diego, ACT Courses & Classes in Denver, GRE Courses & Classes in Boston, ISEE Courses & Classes in San Diego, SSAT Courses & Classes in Boston, MCAT Courses & Classes in San Francisco-Bay Area, MCAT Courses & Classes in Denver, MCAT Courses & Classes in Philadelphia

Popular Test Prep

SSAT Test Prep in Atlanta, MCAT Test Prep in Dallas Fort Worth, SAT Test Prep in Boston, MCAT Test Prep in Washington DC, ISEE Test Prep in San Diego, ACT Test Prep in San Diego, LSAT Test Prep in Denver, GRE Test Prep in Seattle, MCAT Test Prep in San Francisco-Bay Area, SAT Test Prep in Dallas Fort Worth

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 #91 : Simplifying Exponents

Example Question #92 : Simplifying Exponents

Example Question #3556 : Algebra Ii

Example Question #94 : Multiplying And Dividing Exponents

Example Question #95 : Multiplying And Dividing Exponents

Example Question #93 : Simplifying Exponents

Example Question #94 : Simplifying Exponents

Example Question #95 : Simplifying Exponents

Example Question #96 : Simplifying Exponents

Example Question #97 : Simplifying Exponents

All Algebra II Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: