Call Now to Set Up Tutoring:

(888) 888-0446

Algebra II : Algebra II

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 #3511 : Algebra Ii

What is the product of 3x^2 and 6x^4?

Possible Answers:

18x^4

18x^6

18x^7

18x

Correct answer:

18x^6

Explanation:

Remember, product means multiplication: (3x^2)(6x^4)=18x^6 . Multiply like terms and recall that when bases are the same, add exponents.

Report an Error

Example Question #844 : Mathematical Relationships And Basic Graphs

What is the quotient of 24y^9 and $6y^{-4}$ ?

Possible Answers:

$4y^{3}$

$4y^{13}$

$y^{13}$

$4y^{11}$

$4y^{-13}$

Correct answer:

$4y^{13}$

Explanation:

Recall that quotient means division: $\frac{24y^9}{6y^{-4}}$ . To make the negative exponent positive, put it in the numerator: $\frac{24y^9y^4}{6}$ . Now, simplify. Remember that when multiplying and bases are the same, add exponents. Your answer is: $4y^{13}$ .

Report an Error

Example Question #3512 : Algebra Ii

Simplify.

$x^{15}*x^{17}$

Possible Answers:

$x^{255}$

$x^{32}$

$x^{-2}$

$x^{285}$

$x^{22}$

Correct answer:

$x^{32}$

Explanation:

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

$x^{15}*x^{17}=x^{15+17}=x^{32}$

Report an Error

Example Question #3513 : Algebra Ii

Simplify.

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

Possible Answers:

$9^{-6}$

$3^{-6}$

3^6

$27^{-6}$

27^6

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 #3514 : Algebra Ii

Simplify.

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

Possible Answers:

$a^{2.5}$

a^5

$a^{15}$

$a^{1.5}$

$a^{75}$

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 #3515 : Algebra Ii

Simplify.

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

Possible Answers:

$a^{11}$

$a^{25}$

$a^{-25}$

$a^{-11}$

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

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 #3516 : Algebra Ii

Simplify.

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

Possible Answers:

$4^{24}$

$8^{44}$

$2^{36}$

$8^{28}$

$2^{42}$

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 #3517 : Algebra Ii

Simplify.

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

Possible Answers:

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

$x^{-504}$

x^3*y^6

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

x^3

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 : Simplifying Exponents

Simplify.

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

Possible Answers:

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

ab^3

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

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

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

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:

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

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

-(ab)^6

ab^6

a^2b^3

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

View Algebra 2 Tutors

Richard
Certified Tutor

Villanova University, Bachelor of Science, Mathematics. Fairfield University, Master of Arts, Education.

View Algebra 2 Tutors

Melody
Certified Tutor

George Fox University, Bachelor of Science, Biology, General.

View Algebra 2 Tutors

Lyndell
Certified Tutor

University of Virginia-Main Campus, Doctor of Philosophy, Mathematics.

All Algebra II Resources

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

Popular Subjects

SAT Tutors in San Francisco-Bay Area, Computer Science Tutors in Miami, English Tutors in San Francisco-Bay Area, French Tutors in Philadelphia, Spanish Tutors in Chicago, Spanish Tutors in Miami, Chemistry Tutors in Atlanta, LSAT Tutors in Houston, French Tutors in Washington DC, Statistics Tutors in Boston

Popular Courses & Classes

GRE Courses & Classes in San Francisco-Bay Area, GMAT Courses & Classes in Miami, ISEE Courses & Classes in New York City, MCAT Courses & Classes in Miami, SAT Courses & Classes in Boston, ISEE Courses & Classes in Seattle, SSAT Courses & Classes in Denver, GMAT Courses & Classes in Seattle, ACT Courses & Classes in Denver, GMAT Courses & Classes in New York City

Popular Test Prep

SAT Test Prep in Atlanta, ACT Test Prep in New York City, GRE Test Prep in Atlanta, SSAT Test Prep in Seattle, ACT Test Prep in Washington DC, GMAT Test Prep in Boston, SSAT Test Prep in Chicago, GMAT Test Prep in Seattle, GRE Test Prep in Seattle, ISEE Test Prep in Miami

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 : Algebra II

Study concepts, example questions & explanations for Algebra II

All Algebra II Resources

Example Questions

Example Question #3511 : Algebra Ii

Example Question #844 : Mathematical Relationships And Basic Graphs

Example Question #3512 : Algebra Ii

Example Question #3513 : Algebra Ii

Example Question #3514 : Algebra Ii

Example Question #3515 : Algebra Ii

Example Question #3516 : Algebra Ii

Example Question #3517 : Algebra Ii

Example Question #56 : Simplifying Exponents

Example Question #57 : 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: