We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

Algebra II : Simple 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 11 Next →

Example Question #51 : Simple Exponents

Expand $\frac{1}{2}^8$

Possible Answers:

$\frac{1}{2}*\frac{1}{2}*8*8$

8*8*8*8*8*8*8*8

$\frac{1}{2}^8*\frac{1}{2}^8*\frac{1}{2}^8*\frac{1}{2}^8*\frac{1}{2}^8*\frac{1}{2}^8*\frac{1}{2}^8*\frac{1}{2}^8$

$\frac{1}{2}*\frac{1}{2}*\frac{1}{2}*\frac{1}{2}*\frac{1}{2}*\frac{1}{2}*\frac{1}{2}*\frac{1}{2}$

$\frac{1}{2}^8*8$

Correct answer:

$\frac{1}{2}*\frac{1}{2}*\frac{1}{2}*\frac{1}{2}*\frac{1}{2}*\frac{1}{2}*\frac{1}{2}*\frac{1}{2}$

Explanation:

When expanding exponents, we repeat the base by the exponential value.

$\frac{1}{2}^8=\frac{1}{2}*\frac{1}{2}*\frac{1}{2}*\frac{1}{2}*\frac{1}{2}*\frac{1}{2}*\frac{1}{2}*\frac{1}{2}$

Report an Error

Example Question #51 : Simple Exponents

Expand (-4)^3

Possible Answers:

(-4)^3*(-4)^3*(-4)^3

-4*-4*-4

4*4*4

-4*3

3*3*3*3

Correct answer:

-4*-4*-4

Explanation:

When expanding exponents, we repeat the base by the exponential value.

(-4)^3=-4*-4*-4

Report an Error

Example Question #52 : Simple Exponents

Change 4^6 to base

Possible Answers:

$2^{20}$

2^8

$2^{10}$

$2^{12}$

$2^{14}$

Correct answer:

$2^{12}$

Explanation:

To convert the base, we know that 4=2^2 . Therefore $(2^2)^6=2^{12}$ . Remember to apply the power rule of exponents.

Report an Error

Example Question #53 : Simple Exponents

Change 8^6 to base

Possible Answers:

$2^{18}$

$2^{24}$

$2^{12}$

2^9

$2^{16}$

Correct answer:

$2^{18}$

Explanation:

To convert the base, we know that 8=2^3 . Therefore $(2^3)^6=2^{18}$ . Remember to apply the power rule of exponents.

Report an Error

Example Question #55 : Simple Exponents

Change $2^{32}$ to base .

Possible Answers:

$4^{64}$

$4^{36}$

$4^{32}$

4^8

$4^{16}$

Correct answer:

$4^{16}$

Explanation:

To convert the base, we know that 4=2^2 . Therefore $(2^2)^x=2^{32}$ . Remember to apply the power rule of exponents. 2x=32 x=16 Answer is $4^{16}$ .

Report an Error

Example Question #56 : Simple Exponents

Change 27^6 to base

Possible Answers:

$9^{12}$

9^9

$9^{10}$

$9^{18}$

9^6

Correct answer:

9^9

Explanation:

To convert the base, we know that 27=3^3 . Therefore $(3^3)^6=3^{18}$ . Remember to apply the power rule of exponents. Next, we know that 9=3^2 . Therefore, $(3^2)^x=3^{18}$ . Then 2x=18 . x=9 . Answer is 9^9

Report an Error

Example Question #57 : Simple Exponents

Evaluate 7^3

Possible Answers:

147

343

Correct answer:

343

Explanation:

We can expand 7^3 as 7*7*7 .

First multiply the first two integers:

7*7=49

From here multiply 49 with the remaining 7:

$49 \\ \underline{ \times \ \ \ 7}$

Multiply 7 by 9, leave the 3 in the ones place and carry the 6.

$49 \\ \underline{ \times \ \ \ 7}$

Now multiply 7 by 4 and add the remaining 6.

7*4+6=28+6=34

$49 \\ \underline{ \times \ \ \ 7}$

343

The product is 343 .

Report an Error

Example Question #58 : Simple Exponents

Evaluate 9^4

Possible Answers:

6561

10321

9891

729

Correct answer:

6561

Explanation:

We can expand 9^4 to 9*9*9*9 .

First multiply the first two integers together.

$9 \\ \underline{\times \ \ 9}$

Now multiply 81 by 9. First multiply the 9 by the one then the 9 by the 8:

$81 \\ \underline{\times \ \ \ 9}$

729

From here multiply 729 by 9.

Ones place: $9\times9=8{\color{Red} 1}$ Keep the one and carry the eight.

Tens place: $9\times 2+8=18+8=2{\color{Red} 6}$ Keep the six and carry the two.

The hundredths place: $9\times 7+2=63+2={\color{Red} 65}$

Combining the values to solve for the product results in:

6561 .

Report an Error

Example Question #59 : Simple Exponents

Evaluate (-6)^4

Possible Answers:

216

1024

1296

Correct answer:

1296

Explanation:

We can expand (-6)^4 to be (-6*-6*-6*-6) . Remember when an even number of negative values are multiplied together the product becomes positive.

First multiply the first two integers:

$-6\times -6=36$

Now multiply 36 by -6:

$36 \\ \underline{\times -6}$

First multiply 6 by 6, then 3 by 6 plus the remainder.

Ones place: $6\times -6=-3{\color{Red} 6}$

Tens place: $-6\times 3 +3=18+3=-{\color{Red} 21}$

Thus,

$36 \\ \underline{\times-6}$

Now multiply -216 by -6.

Ones place: $-6\times -6 =3{\color{Red} 6}$

Tens place: $6\times 1 +3=6+3={\color{Red} 9}$

Hundreds place: $6\times 2={\color{Red} 12}$

Combining these results in 1296

The product is then 1296 .

Report an Error

Example Question #60 : Simple Exponents

Evaluate -6^4

Possible Answers:

216

1296

Correct answer:

Explanation:

We can expand -6^4 to be -(6*6*6*6) . Remember the negative is outside the exponent.

First multiply the first two integers:

$6\times 6=36$

Now multiply 36 by 6:

$36 \\ \underline{\times\ \ \ 6}$

First multiply 6 by 6, then 3 by 6 plus the remainder.

Ones place: $6\times 6=3{\color{Red} 6}$

Tens place: $6\times 3 +3=18+3={\color{Red} 21}$

Thus,

$36 \\ \underline{\times\ \ \ \ 6}$

216

Now multiply 216 by 6.

Ones place: $6\times 6 =3{\color{Red} 6}$

Tens place: $6\times 1 +3=6+3={\color{Red} 9}$

Hundreds place: $6\times 2={\color{Red} 12}$

Combining these results in 1296

Substituting this back into the -6^4 to be -(6*6*6*6) the product is then .

Report an Error

← Previous 1 2 3 4 5 6 7 8 9 10 11 Next →

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.

View Algebra 2 Tutors

Thushan
Certified Tutor

Guilford Technical Community College, Associate in Science, Mechanical Engineering. North Carolina State University at Raleig...

All Algebra II Resources

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

Popular Subjects

GRE Tutors in Houston, Reading Tutors in New York City, Statistics Tutors in Miami, Biology Tutors in Washington DC, GRE Tutors in Boston, GRE Tutors in Phoenix, Statistics Tutors in Seattle, Chemistry Tutors in Dallas Fort Worth, French Tutors in San Francisco-Bay Area, English Tutors in Seattle

Popular Courses & Classes

Spanish Courses & Classes in Houston, GMAT Courses & Classes in Dallas Fort Worth, SAT Courses & Classes in New York City, SSAT Courses & Classes in New York City, GMAT Courses & Classes in Philadelphia, ACT Courses & Classes in Washington DC, SAT Courses & Classes in Denver, Spanish Courses & Classes in Dallas Fort Worth, ACT Courses & Classes in Denver, GRE Courses & Classes in Los Angeles

Popular Test Prep

MCAT Test Prep in Miami, ACT Test Prep in Phoenix, GMAT Test Prep in Washington DC, ACT Test Prep in San Diego, ACT Test Prep in Washington DC, ISEE Test Prep in San Francisco-Bay Area, SSAT Test Prep in Houston, GRE Test Prep in Dallas Fort Worth, GRE Test Prep in San Diego, GRE Test Prep in Atlanta

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 : Simple Exponents

Study concepts, example questions & explanations for Algebra II

All Algebra II Resources

Example Questions

Example Question #51 : Simple Exponents

Example Question #51 : Simple Exponents

Example Question #52 : Simple Exponents

Example Question #53 : Simple Exponents

Example Question #55 : Simple Exponents

Example Question #56 : Simple Exponents

Example Question #57 : Simple Exponents

Example Question #58 : Simple Exponents

Example Question #59 : Simple Exponents

Example Question #60 : Simple Exponents

All Algebra II Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: