Call Now to Set Up Tutoring:

(888) 888-0446

Algebra II : Distributing Exponents (Power Rule)

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 #221 : Simplifying Exponents

Simplify: $(3^{-9})^{-9}$

Possible Answers:

$3^{-9}$

$3^{-36}$

$3^{81}$

$3^{-18}$

Correct answer:

$3^{81}$

Explanation:

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

$(3^{-9})^{-9}=3^{-9*-9}=3^{81}$

Report an Error

Example Question #222 : Simplifying Exponents

Simplify: $(\frac{1}{2}^{9})^8$

Possible Answers:

$2^{72}$

$\frac{1}{2}^{17}$

$\frac{1}{2}^{72}$

$2^{17}$

4^6

Correct answer:

$\frac{1}{2}^{72}$

Explanation:

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

$(\frac{1}{2}^{9})^8=\frac{1}{2}^{9*8}=\frac{1}{2}^{72}$

Report an Error

Example Question #223 : Simplifying Exponents

Simplify: $(3a^2b^{-3}c^4)^2$

Possible Answers:

$\frac{9a^4c^8}{b^3}$

$\frac{9a^4c^8}{b^6}$

$\frac{3a^4c^8}{b^6}$

$\frac{a^4c^8}{b^6}$

Correct answer:

$\frac{9a^4c^8}{b^6}$

Explanation:

To simplify this expression, square every term in the parentheses:

$3^2a^4b^{-6}c^8$ .

Then simplify and get rid of the negative exponent by putting the b term on the denominator:

$\frac{9a^4c^8}{b^6}$ .

Report an Error

Example Question #231 : Simplifying Exponents

Simplify:

(4^7)^7

Possible Answers:

$4^{39}$

$4^{14}$

$4^{28}$

$4^{77}$

$4^{49}$

Correct answer:

$4^{49}$

Explanation:

When an exponent is raised by another exponent, we will multiply the exponents and keep the base the same.

Simplify:

$(4^7)^7=4^{7*7}=4^{49}$

Report an Error

Example Question #232 : Simplifying Exponents

Simplify:

$(8^7)^{-2}$

Possible Answers:

$8^{5}$

$8^{-9}$

$8^{14}$

$8^{-14}$

$8^{-5}$

Correct answer:

$8^{-14}$

Explanation:

When an exponent is raised by another exponent, we will multiply the exponents and keep the base the same.

Simplify:

$(8^7)^{-2}=8^{7*-2}=8^{-14}$

Report an Error

Example Question #233 : Simplifying Exponents

Simplify:

$(5^{-5})^{-5}$

Possible Answers:

$5^{18}$

$5^{-12}$

$5^{25}$

$5^{-10}$

$5^{10}$

Correct answer:

$5^{25}$

Explanation:

When an exponent is raised by another exponent, we will multiply the exponents and keep the base the same.

Simplify:

$(5^{-5})^{-5}=5^{-5*-5}=5^{25}$

Report an Error

Example Question #234 : Simplifying Exponents

Simplify:

$\left(\frac{1}{3}^7\right)^{-7}$

Possible Answers:

$\frac{1}{3}^{-14}$

$\frac{1}{3}^{-49}$

$-\frac{1}{3}$

$\frac{1}{3}$

$\frac{1}{3}^{49}$

Correct answer:

$\frac{1}{3}^{-49}$

Explanation:

When an exponent is raised by another exponent, we will multiply the exponents and keep the base the same.

Simplify:

$\left(\frac{1}{3}^7\right)^{-7}=\frac{1}{3}^{7*-7}=\frac{1}{3}^{-49}$

Report an Error

Example Question #235 : Simplifying Exponents

Simplify: (8^8)^8

Possible Answers:

$8^{12}$

$8^{88}$

$8^{24}$

$8^{64}$

$8^{16}$

Correct answer:

$8^{64}$

Explanation:

When dealing with exponents raising another exponent, we just multiply the powers and keep the base the same.

$(8^8)^8=8^{8*8}=8^{64}$

Report an Error

Example Question #236 : Simplifying Exponents

Simplify: $(9^9)^{-9}$

Possible Answers:

$9^{-18}$

$9^{-19}$

$9^{81}$

$9^{18}$

$9^{-81}$

Correct answer:

$9^{-81}$

Explanation:

When dealing with exponents raising another exponent, we just multiply the powers and keep the base the same.

$(9^9)^{-9}=9^{-9*9}=9^{-81}$

Report an Error

Example Question #237 : Simplifying Exponents

Simplify: $(11^{-11})^{-11}$

Possible Answers:

$11^{22}$

$11^{11}$

$11^{-22}$

$11^{-11}$

$11^{121}$

Correct answer:

$11^{121}$

Explanation:

When dealing with exponents raising another exponent, we just multiply the powers and keep the base the same.

$(11^{-11})^{-11}=11^{-11*-11}=11^{121}$

Report an Error

View Algebra 2 Tutors

Nicholas
Certified Tutor

Fordham University, Bachelors, Business Administration and Management. Boston University, Master of Arts, Multimedia.

View Algebra 2 Tutors

Teagan
Certified Tutor

The University of Texas at Austin, Bachelor of Science, Physics.

View Algebra 2 Tutors

Elvira
Certified Tutor

University of Immaculate Conception, Doctor of Science, Clinical Laboratory Science.

All Algebra II Resources

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

Popular Subjects

LSAT Tutors in Miami, SSAT Tutors in San Diego, GRE Tutors in New York City, Reading Tutors in San Diego, GRE Tutors in Houston, GMAT Tutors in New York City, SSAT Tutors in Philadelphia, English Tutors in Washington DC, Math Tutors in Philadelphia, GRE Tutors in Chicago

Popular Courses & Classes

GMAT Courses & Classes in Houston, ACT Courses & Classes in Los Angeles, GRE Courses & Classes in San Francisco-Bay Area, GRE Courses & Classes in Atlanta, ACT Courses & Classes in Houston, Spanish Courses & Classes in Miami, MCAT Courses & Classes in Chicago, ACT Courses & Classes in Miami, SSAT Courses & Classes in Philadelphia, SAT Courses & Classes in Chicago

Popular Test Prep

ACT Test Prep in Los Angeles, LSAT Test Prep in Miami, LSAT Test Prep in Philadelphia, SAT Test Prep in Los Angeles, ACT Test Prep in Houston, GMAT Test Prep in Houston, SAT Test Prep in New York City, ACT Test Prep in Miami, SAT Test Prep in Boston, SSAT Test Prep in Washington DC

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 : Distributing Exponents (Power Rule)

Study concepts, example questions & explanations for Algebra II

All Algebra II Resources

Example Questions

Example Question #221 : Simplifying Exponents

Example Question #222 : Simplifying Exponents

Example Question #223 : Simplifying Exponents

Example Question #231 : Simplifying Exponents

Example Question #232 : Simplifying Exponents

Example Question #233 : Simplifying Exponents

Example Question #234 : Simplifying Exponents

Example Question #235 : Simplifying Exponents

Example Question #236 : Simplifying Exponents

Example Question #237 : Simplifying Exponents

All Algebra II Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: