We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

Algebra II : Simplifying 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

← Previous 1 2 3 4 5 6 7 8 9 10 … 30 31 Next →

Example Question #51 : Multiplying And Dividing Exponents

Simplify.

$3^{-14}*3^{23}*3^{-15}$

Possible Answers:

27^6

$27^{-6}$

$3^{-6}$

$9^{-6}$

3^6

Correct answer:

$3^{-6}$

Explanation:

When multiplying exponents with the same base, you just have to add the exponents.

$3^{-14}*3^{23}*3^{-15}=3^{-14+23-15}=3^{-6}$

Report an Error

Example Question #52 : Multiplying And Dividing Exponents

Simplify.

$\frac{a^{45}}{a^{30}}$

Possible Answers:

$a^{1.5}$

$a^{15}$

$a^{2.5}$

$a^{75}$

a^5

Correct answer:

$a^{15}$

Explanation:

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

$\frac{a^{45}}{a^{30}}=a^{45-30}=a^{15}$

Report an Error

Example Question #53 : Multiplying And Dividing Exponents

Simplify.

$\frac{a^7}{a^{18}}$

Possible Answers:

$a^{-11}$

$a^{-25}$

$a^{11}$

$a^{\frac{7}{18}}$

$a^{25}$

Correct answer:

$a^{-11}$

Explanation:

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

$\frac{a^{7}}{a^{18}}=a^{7-18}=a^{-11}$

Report an Error

Example Question #54 : Multiplying And Dividing Exponents

Simplify.

$2^{12}*2^{16}*2^{14}$

Possible Answers:

$8^{28}$

$4^{24}$

$2^{42}$

$8^{44}$

$2^{36}$

Correct answer:

$2^{42}$

Explanation:

When multiplying exponents with the same base, you just have to add the exponents.

$2^{12}*2^{16}*2^{14}=2^{12+16+14}=2^{42}$

Report an Error

Example Question #55 : Multiplying And Dividing Exponents

Simplify.

$x^{-24}*x^{21}*y^6$

Possible Answers:

$x^{-3}*y^6$

$x^{-504}*y^6$

$x^{-504}$

x^3

x^3*y^6

Correct answer:

$x^{-3}*y^6$

Explanation:

When multiplying exponents with the same base, you just have to add the exponents.

$x^{-24}*x^{21}*y^6=x^{-24+21}*y^6=x^{-3}*y^6$

We just keep as it is.

Report an Error

Example Question #56 : Multiplying And Dividing Exponents

Simplify.

$\frac{a^9b^{11}}{a^{10}b^7}$

Possible Answers:

ab^3

$a^{90}b^{77}$

$a^{19}b^{18}$

$\frac{b^4}{a}$

$\frac{a}{b^4}$

Correct answer:

$\frac{b^4}{a}$

Explanation:

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

$\frac{a^{9}b^{11}}{a^{10}b^7}=a^{9-10}*b^{11-7}=a^{-1}*b^4$ $a^{-1}$ is the same as $\frac{1}{a}$ .

Final answer is $\frac{b^4}{a}$ .

Report an Error

Example Question #57 : Multiplying And Dividing Exponents

Simplify.

$\frac{a^{23}b^{12}}{a^{25}b^{15}}$

Possible Answers:

-(ab)^6

ab^6

$\frac{1}{a^2b^3}$

a^2b^3

$a^{48}b^{27}$

Correct answer:

$\frac{1}{a^2b^3}$

Explanation:

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

$\frac{a^{23}b^{12}}{a^{25}b^{15}}=a^{23-25}*b^{12-15}=a^{-2}*b^{-3}$ $a^{-2}$ is the same as $\frac{1}{a^2}$ and $b^{-3}$ is the same as $\frac{1}{b^3}$ .

Final answer is $\frac{1}{a^2b^3}$ .

Report an Error

Example Question #56 : Multiplying And Dividing Exponents

Simplify the expression:

$\frac{4^{36}}{4^{6}}$

Possible Answers:

$4^{12}$

$4^{42}$

$4^{30}$

4^6

Correct answer:

$4^{30}$

Explanation:

When dividing exponents with the same coefficient, you subtract the exponents. 36-6=30

Therefore the answer is $4^{30}$ .

Report an Error

Example Question #59 : Multiplying And Dividing Exponents

Simplify $\frac{a^{4}b^{8}c^{9}d^{7}}{a^{2}bc^{6}}$

Possible Answers:

$a^{2}b^{7}c^{3}d^{7}$

$d^{7}$

$\frac{a^{6}b^{9}c^{3}}{d^{7}}$

$a^{6}b^{9}c^{15}d^{7}$

$\frac{a^{4}b^{6}}{d^{7}}$

Correct answer:

$a^{2}b^{7}c^{3}d^{7}$

Explanation:

Same variables with exponents in a numerator and denominator of a fraction cancel each other out. It can be thought of as you take the exponent of the variable in the numerator and subtract it by the exponent of the same variable in the denominator.

$\frac{a^{4}b^{8}c^{9}d^{7}}{a^{2}bc^{6}}$

Can be written as

$a^{4-2}b^{8-1}c^{9-6}d^{7}$

$a^{2}b^{7}c^{3}d^{7}$

This is as far as you can simplify.

Report an Error

Example Question #60 : Multiplying And Dividing Exponents

Simplify $\frac{x^{3}\cdot x^{5}\cdot x}{x^{2}}$

Possible Answers:

$\frac{x^{15}}{x^{2}}$

$x^{7}$

$x^{13}$

$x^{9}$

$x^{11}$

Correct answer:

$x^{7}$

Explanation:

When multiplying the same variables or numbers with exponents, the exponents add. When dividing the same variables or numbers, the exponent(s) in the denominator are subtracted from those in the numerator.

$\frac{x^{3}\cdot x^{5}\cdot x}{x^{2}}$

$\frac{x^{3+5+1}}{x^{2}}$

$\frac{x^{9}}{x^{2}}$

$x^{9-2}$

$x^{7}$

Report an Error

← Previous 1 2 3 4 5 6 7 8 9 10 … 30 31 Next →

View Algebra 2 Tutors

AJ
Certified Tutor

Loyola University-Chicago, Bachelor of Science, Biophysics. DePaul University, Master of Science, Physics.

View Algebra 2 Tutors

George
Certified Tutor

Colby College, Bachelors, Economics/Spanish. Massachusetts Institute of Technology, Masters, Urban Studies.

View Algebra 2 Tutors

Jitendra
Certified Tutor

BHU, Bachelor, Mathematics.

All Algebra II Resources

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

Popular Subjects

Biology Tutors in Seattle, Reading Tutors in New York City, English Tutors in Philadelphia, English Tutors in Dallas Fort Worth, GRE Tutors in San Diego, Statistics Tutors in Chicago, Chemistry Tutors in Dallas Fort Worth, ISEE Tutors in San Francisco-Bay Area, Chemistry Tutors in Miami, Spanish Tutors in San Diego

Popular Courses & Classes

ISEE Courses & Classes in San Diego, SSAT Courses & Classes in Philadelphia, Spanish Courses & Classes in Miami, Spanish Courses & Classes in New York City, LSAT Courses & Classes in Miami, GMAT Courses & Classes in Philadelphia, LSAT Courses & Classes in Chicago, SSAT Courses & Classes in Houston, GRE Courses & Classes in Atlanta, SSAT Courses & Classes in Phoenix

Popular Test Prep

MCAT Test Prep in Seattle, SAT Test Prep in Boston, GRE Test Prep in Atlanta, SAT Test Prep in Washington DC, MCAT Test Prep in Phoenix, GRE Test Prep in Phoenix, SAT Test Prep in San Francisco-Bay Area, SAT Test Prep in Chicago, ISEE Test Prep in San Diego, LSAT Test Prep in San Francisco-Bay Area

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 : Simplifying Exponents

Study concepts, example questions & explanations for Algebra II

All Algebra II Resources

Example Questions

Example Question #51 : Multiplying And Dividing Exponents

Example Question #52 : Multiplying And Dividing Exponents

Example Question #53 : Multiplying And Dividing Exponents

Example Question #54 : Multiplying And Dividing Exponents

Example Question #55 : Multiplying And Dividing Exponents

Example Question #56 : Multiplying And Dividing Exponents

Example Question #57 : Multiplying And Dividing Exponents

Example Question #56 : Multiplying And Dividing Exponents

Example Question #59 : Multiplying And Dividing Exponents

Example Question #60 : 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: