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

Example Question #171 : Multiplying And Dividing Exponents

Simplify $x^2y^3x^{-3}y^7$

Possible Answers:

$x^7y^{2}$

$\frac{x^2y^{10}}{x^3}$

$\frac{y^{10}}{x}$

x^2y^7

Not possible.

Correct answer:

$\frac{y^{10}}{x}$

Explanation:

First combine like variables. This leaves us with $x^{-1}y^{10}$ which is equal to $\frac{y^{10}}{x}$

Report an Error

Example Question #172 : Multiplying And Dividing Exponents

Simplify x^2y^4z^5x^5z^7y^8

Possible Answers:

$1/x^7y^{12}z^{12}$

Not possible.

$x^7y^{12}z^{12}$

$(xyz)^{31}$

Correct answer:

$x^7y^{12}z^{12}$

Explanation:

First combine like variables by adding exponents. This leaves us with $x^7y^{12}z^{12}$

Report an Error

Example Question #173 : Multiplying And Dividing Exponents

Simplify $\frac{x^7y^2z^8x^2y^{16}}{x^9y^{18}}$

Possible Answers:

z^8

Not possible

$x^{18}y^{36}z^8$

xyz^8

Correct answer:

z^8

Explanation:

First, combine exponents of like variables. This gives us $\frac{x^9y^{18}z^8}{x^9y^{18}}$ which simplifies to z^8

Report an Error

Example Question #174 : Multiplying And Dividing Exponents

Simplify $x^5y^2x^{-4}$

Possible Answers:

(xy)^2

xy^2

x^2y

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

Correct answer:

xy^2

Explanation:

First, combine exponents of like variables. This gives us xy^2

Report an Error

Example Question #175 : Multiplying And Dividing Exponents

Simplify $z^3y^2x^6y^{-3}$

Possible Answers:

(xyz)^8

$\frac{z^3x^6}{y^3}$

z^3y^2x^6

$\frac{z^3x^6}{y}$

Correct answer:

$\frac{z^3x^6}{y}$

Explanation:

First, combine exponents of like variables. This gives us $z^3y^{-1}x^6$ which simplifies to $\frac{z^3x^6}{y}$

Report an Error

Example Question #176 : Multiplying And Dividing Exponents

Simplify $x^8z^2y^3x^4y^{18}z^2z^{-14}y^{-23}y^{12}x^{-3}z^{22}x^{-9}$

Possible Answers:

$y^{10}z^{12}$

$x^{24}y^{45}z^{25}$

x^2

y^3

Correct answer:

$y^{10}z^{12}$

Explanation:

First, combine exponents of like variables and add them together. This gives us $x^0y^{10}z^{12}$ which simplifies to $y^{10}z^{12}$

Report an Error

Example Question #3639 : Algebra Ii

The expression $\frac{a^{3}b^{-2}}{a^{-4}b^{2}}$ is equivalent to?

Possible Answers:

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

$\frac{b^{5}}{a^{7}}$

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

$a^{-2}b^{-2}$

Correct answer:

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

Explanation:

By simplifying the exponents: bringing the $a^{-4}$ to the numerator and adding the two a's together, getting $a^{7}$ in the numerator, and bringing the $b^{-2}$ to the denominator and adding the two b's together, getting $b^{4}$ in the denominator.

Report an Error

Example Question #3641 : Algebra Ii

Divide the exponents: $\frac{2^{8}}{2^{10}}$

Possible Answers:

$\frac{1}{512}$

$\frac{1}{4}$

$-\frac{1}{4}$

$\frac{1}{2}$

$\frac{1}{256}$

Correct answer:

$\frac{1}{4}$

Explanation:

Since both of the terms are divided and share a common base, we can simplify the exponents by subtraction.

$\frac{2^{8}}{2^{10}} = 2^{8-10} = 2^{-2}$

The negative exponent can be rewritten as fraction.

$2^{-2} = \frac{1}{2^2} = \frac{1}{4}$

The answer is: $\frac{1}{4}$

Report an Error

Example Question #3642 : Algebra Ii

Simplify: $\frac{x^{-5}}{x^{-6}} \div x^{-5}$

Possible Answers:

$\frac{1}{x^6}$

x^6

$\frac{1}{x^{16}}$

$\frac{1}{x^4}$

$\frac{1}{x^2}$

Correct answer:

x^6

Explanation:

Evaluate the first term by subtracting the exponents.

$\frac{x^{-5}}{x^{-6}} = x^{-5-(-6)} = x^{-5+6} = x^1=x$

$x\div x^{-5} = \frac{x^1}{x^{-5}} = x^{1-(-5)} = x^6$

The answer is: x^6

Report an Error

Example Question #177 : Simplifying Exponents

Solve: $\frac{2^8}{4^{5}}$

Possible Answers:

$\frac{1}{16}$

$\frac{1}{32}$

$\frac{1}{4}$

$\frac{1}{8}$

$\frac{1}{4096}$

Correct answer:

$\frac{1}{4}$

Explanation:

Do not expand the powers. Instead convert the denominator to base two.

$\frac{2^8}{4^{5}} = \frac{2^8}{(2^2)^{5}} = \frac{2^8}{2^{10}}$

Now that common bases with a certain exponent are divided, we can subtract the exponents.

$2^{8-10} = 2^{-2}$

Rewrite this term as a fraction.

$2^{-2} = \frac{1}{2^2} = \frac{1}{4}$

The answer is: $\frac{1}{4}$

Report an Error

View Algebra 2 Tutors

Satweka
Certified Tutor

The University of Texas at Dallas, Master of Science, Biomedical Engineering.

View Algebra 2 Tutors

Justin
Certified Tutor

Vanderbilt University, Bachelor, Computer Science, Mathematics, & Philosophy.

View Algebra 2 Tutors

Jack
Certified Tutor

University of Washington-Seattle Campus, Bachelor in Arts, Mathematics. Western Washington University, Master of Science, Mat...

All Algebra II Resources

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

Popular Subjects

Math Tutors in Houston, GMAT Tutors in Los Angeles, ISEE Tutors in New York City, Math Tutors in Washington DC, Physics Tutors in Boston, Biology Tutors in Philadelphia, Computer Science Tutors in Los Angeles, GRE Tutors in Dallas Fort Worth, Spanish Tutors in Chicago, SSAT Tutors in Seattle

Popular Courses & Classes

Spanish Courses & Classes in Denver, SSAT Courses & Classes in Dallas Fort Worth, LSAT Courses & Classes in Boston, Spanish Courses & Classes in Atlanta, Spanish Courses & Classes in New York City, SSAT Courses & Classes in Los Angeles, ACT Courses & Classes in Dallas Fort Worth, ISEE Courses & Classes in San Francisco-Bay Area, LSAT Courses & Classes in Dallas Fort Worth, ACT Courses & Classes in Denver

Popular Test Prep

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

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 #171 : Multiplying And Dividing Exponents

Example Question #172 : Multiplying And Dividing Exponents

Example Question #173 : Multiplying And Dividing Exponents

Example Question #174 : Multiplying And Dividing Exponents

Example Question #175 : Multiplying And Dividing Exponents

Example Question #176 : Multiplying And Dividing Exponents

Example Question #3639 : Algebra Ii

Example Question #3641 : Algebra Ii

Example Question #3642 : Algebra Ii

Example Question #177 : Simplifying Exponents

All Algebra II Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: