Call Now to Set Up Tutoring:

(888) 888-0446

College Algebra : College Algebra

Study concepts, example questions & explanations for College Algebra

Create An Account

All College Algebra Resources

5 Diagnostic Tests 84 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : Integer Exponents

Simplify:

(4x^3)^4

Possible Answers:

512x

16x^7

4x^7

$256x^{12}$

$4x^{12}$

Correct answer:

$256x^{12}$

Explanation:

Use the power rule to distribute the exponent:

$(4x^3)^4\rightarrow 4^4\cdot x^{3\cdot 4}\rightarrow 256x^{12}$

Report an Error

Example Question #11 : Distributing Exponents (Power Rule)

Simplify the following expression:

(9x^6y^2z^5)^2

Possible Answers:

$81x^{12}y^4z^{10}$

$18x^{12}y^4z^{10}$

$81x^{8}y^4z^{7}$

$11x^{12}y^4z^{10}$

Correct answer:

$81x^{12}y^4z^{10}$

Explanation:

Simplify the following expression:

(9x^6y^2z^5)^2

To raise exponents to another power, we need to multiply them:

$(9x^6y^2z^5)^2=9^2x^{6*2}y^{2*2}z^{5*2}=81x^{12}y^4z^{10}$

So we get:

$81x^{12}y^4z^{10}$

Report an Error

Example Question #1 : Generate Equivalent Numerical Expressions: Ccss.Math.Content.8.Ee.A.1

Simplify.

$(x^4)^{6}$

Possible Answers:

$x^{24}$

$x^{46}$

x^2

$x^{10}$

$x^{-2}$

Correct answer:

$x^{24}$

Explanation:

When an exponent is being raised by another exponent, we just multiply the powers of the exponents and keep the base the same.

$(x^4)^{6}=x^{4*6}=x^{24}$

Report an Error

Example Question #21 : Distributing Exponents (Power Rule)

Simplify.

$(\frac{x^5}{y^3})^3$

Possible Answers:

$\frac{x^{15}}{y^{13}}$

$\frac{x^{15}}{y^8}$

$\frac{x^{15}}{y^9}$

$\frac{x^{8}}{y^6}$

$\frac{x^{15}}{y^3}$

Correct answer:

$\frac{x^{15}}{y^9}$

Explanation:

When an exponent is being raised by another exponent, we just multiply the powers of the exponents and keep the base the same.

$(\frac{x^5}{y^3})^{3}=\frac{x^{5*3}}{y^{3*3}}=\frac{x^{15}}{y^{9}}$

Report an Error

Example Question #281 : College Algebra

Combine the following terms:

5x^4*3t^3*8x^3

Possible Answers:

$120x^{10}$

16x^7t^3

120x^7t^3

$120x^{36}$

Correct answer:

120x^7t^3

Explanation:

Combine the following terms:

5x^4*3t^3*8x^3

We need to multiply three terms together. We should recognize that the t must be left alone, because it cannot be combined with the x's.

First, multiply all three coefficients

5*3*8=120

Next, combine the x's. Because we are multiplying, we will add the exponents.

x^4*x^3=x^7

Now, put it all together to get:

120x^7t^3

Report an Error

Example Question #1 : Review And Other Topics

Evaluate

X^7/X^4

Possible Answers:

$X^{28}$

X^3

7/4X

$X^{7/4}$

$X^{-3}$

Correct answer:

X^3

Explanation:

When common variables with exponents are divided, the exponents are subtracted.

$X^7/X^4 = X^{7-4} = X^3$

Report an Error

Example Question #2 : Review And Other Topics

Evaluate

X^8*X^6

Possible Answers:

14X

$X^{48}$

48X

$X^{14}$

$X^{2}$

Correct answer:

$X^{14}$

Explanation:

When like terms with exponents are multiplied, you add the exponents.

$X^8*X^6 = X^{8+6} = X^{14}$

Report an Error

Example Question #3 : Review And Other Topics

Evaluate the following:

$x^{2}*x^{4}=$

Possible Answers:

$x^{8}$

$2x^{4}$

$x^{6}$

$x^{2}$

Correct answer:

$x^{6}$

Explanation:

When similar terms raised to n are multiplied, simply add the exponents. Thus

$x^{2}*x^{4}=x^{2+4}=x^{6}$

Report an Error

Example Question #4 : Review And Other Topics

$x^{3}*x^{5}=$

Possible Answers:

$x^{8}$

$x^{15}$

$x^{5}$

$x^{2}$

15x

Correct answer:

$x^{8}$

Explanation:

When similar terms raised to n are multiplied, simply add the exponents. Thus

$x^{3}*x^{5}=x^{3+5}=x^{8}$

Report an Error

Example Question #281 : College Algebra

$x^{8}*x^{4}=$

Possible Answers:

$x^{12}$

32x

$x^{2}$

$x^{4}$

$x^{32}$

Correct answer:

$x^{12}$

Explanation:

When similar terms raised to n are multiplied, simply add the exponents. Thus

$x^{8}*x^{4}=x^{8+4}=x^{12}$

Report an Error

View College Algebra Tutors

Alejandro
Certified Tutor

Kennesaw State University, Bachelor of Science, Computer Software Engineering.

View College Algebra Tutors

Tracy
Certified Tutor

Clarion University of Pennsylvania, Bachelor of Science, Physics.

View College Algebra Tutors

Satweka
Certified Tutor

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

All College Algebra Resources

5 Diagnostic Tests 84 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Statistics Tutors in Washington DC, Computer Science Tutors in New York City, Reading Tutors in Los Angeles, English Tutors in Denver, GMAT Tutors in San Diego, SAT Tutors in San Francisco-Bay Area, Reading Tutors in San Francisco-Bay Area, Math Tutors in Denver, Calculus Tutors in Dallas Fort Worth, SAT Tutors in Miami

Popular Courses & Classes

SAT Courses & Classes in San Diego, SSAT Courses & Classes in Miami, GRE Courses & Classes in Houston, Spanish Courses & Classes in San Francisco-Bay Area, GRE Courses & Classes in San Francisco-Bay Area, GMAT Courses & Classes in Houston, MCAT Courses & Classes in San Francisco-Bay Area, GMAT Courses & Classes in Phoenix, GRE Courses & Classes in Boston, ISEE Courses & Classes in Philadelphia

Popular Test Prep

GMAT Test Prep in New York City, SAT Test Prep in Philadelphia, ISEE Test Prep in Washington DC, ISEE Test Prep in Dallas Fort Worth, MCAT Test Prep in Dallas Fort Worth, ACT Test Prep in New York City, GRE Test Prep in Boston, GMAT Test Prep in Phoenix, SAT Test Prep in San Diego, LSAT Test Prep in Philadelphia

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

College Algebra : College Algebra

Study concepts, example questions & explanations for College Algebra

All College Algebra Resources

Example Questions

Example Question #1 : Integer Exponents

Example Question #11 : Distributing Exponents (Power Rule)

Example Question #1 : Generate Equivalent Numerical Expressions: Ccss.Math.Content.8.Ee.A.1

Example Question #21 : Distributing Exponents (Power Rule)

Example Question #281 : College Algebra

Example Question #1 : Review And Other Topics

Example Question #2 : Review And Other Topics

Example Question #3 : Review And Other Topics

Example Question #4 : Review And Other Topics

Example Question #281 : College Algebra

All College Algebra Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: