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 #259 : Exponents

Evaluate: $-3^0 \cdot -2^{3} \cdot -3^2$

Possible Answers:

Correct answer:

Explanation:

Use order of operations to evaluate this expression. Evaluate the exponents first.

3^0 = 1

2^3 = 8

3^2 =9

Apply the negative signs in front of these values.

$-3^0 \cdot -2^{3} \cdot -3^2 =(-1)(-8)(-9) = -72$

The answer is:

Report an Error

Example Question #254 : Exponents

Evaluate: 2^2+2^5+3^0

Possible Answers:

129

128

Correct answer:

Explanation:

Rewrite the expression by expanding the exponents. A number raised to a number is multiplied by itself that many times. The exception is that any number raised to the power of zero is equal to one.

$2^2+2^5+3^0 = (2\times 2)+(2\times 2\times 2\times 2\times 2)+1$

=4+32+1=37

The answer is:

Report an Error

Example Question #3391 : Algebra Ii

Expand 12^8

Possible Answers:

12*12*12*12*12*12*12*12

12*12*8*8*8*12

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

12^8*12^8*12^8*12^8*12^8*12^8*12^8*12^8

12*8

Correct answer:

12*12*12*12*12*12*12*12

Explanation:

To expand the exponent, we multiply the base by the power it is being raised to.

12^8=12*12*12*12*12*12*12*12

Report an Error

Example Question #3392 : Algebra Ii

Expand (-6)^6

Possible Answers:

-6*6

-6^6*-6^6*-6^6*-6^6*-6^6*-6^6

6*6*6*6*6*6

-6*-6*-6*-6*-6*-6*6*6*6*6*6*6

-6*-6*-6*-6*-6*-6

Correct answer:

-6*-6*-6*-6*-6*-6

Explanation:

To expand the exponent, we multiply the base by the power it is being raised to.

(-6)^6=-6*-6*-6*-6*-6*-6

Report an Error

Example Question #63 : Simple Exponents

Evaluate: $(x^{3})^3+3x^3+3x(3x^3)$

Possible Answers:

x^9+6x^4+3x^3

x^6+9x^4+3x^3

x^6+6x^4+3x^3

x^9+9x^4+3x^3

10x^3+9x^4

Correct answer:

x^9+9x^4+3x^3

Explanation:

Evaluate each term of $(x^{3})^3+3x^3+3x(3x^3)$ .

$(x^{3})^3 = (x^{3})(x^{3})(x^{3}) = x^{3+3+3} = x^9$

The term 3x^3 is already simplified.

3x(3x^3) = 9x^4

Combine all the terms. There are no like-terms.

The answer is: x^9+9x^4+3x^3

Report an Error

Example Question #3393 : Algebra Ii

Convert $4^{10}$ to base .

Possible Answers:

$2^{10}$

$2^{20}$

$2^{24}$

2^8

$2^{12}$

Correct answer:

$2^{20}$

Explanation:

We know that 4=2^2 .

Therefore

$4^{10}=(2^2)^{10}=2^{20}$ .

Remember to apply the power rule of exponents.

Report an Error

Example Question #66 : Simple Exponents

Convert $2^{18}$ to base $\frac{1}{2}$ .

Possible Answers:

$(\frac{1}{2})^{24}$

$(\frac{1}{2})^{18}$

$(\frac{1}{2})^{-18}$

$(\frac{1}{2})^{-36}$

$(\frac{1}{2})^{-16}$

Correct answer:

$(\frac{1}{2})^{-18}$

Explanation:

We know that $2=\frac{1}{2}^{-1}$ .

Remember when having negative exponents

$x^{-a}=\frac{1}{x^a}$

which is the positive exponent raising base .

Therefore

$2^{18}=(\frac{1}{2}^{-1})^{18}=(\frac{1}{2})^{-18}$ .

Remember to apply the power rule of exponents.

Report an Error

Example Question #67 : Simple Exponents

Evaluate 5^6

Possible Answers:

125625

15625

78125

252525

3025

Correct answer:

15625

Explanation:

To evaluate the exponent, we expand 5^6 into 5*5*5*5*5*5 .

We just multiply the numbers out to get,

$\\ 5\times 5=25 \\25\times 5=125 \\125\times 5=625 \\625\times 5=3125 \\3125\times 5=15625$

Therefore, 5^6=15625 .

Report an Error

Example Question #68 : Simple Exponents

Evaluate -9^4

Possible Answers:

6561

729

Correct answer:

Explanation:

To evaluate the exponent, we expand -9^4 into -(9*9*9*9) .

We just multiply the numbers out to get,

$\\9\times9=81 \\81\times 9=729 \\729\times9=6561$

Remember to apply the negative sign after solving the exponent.

Report an Error

Example Question #734 : Mathematical Relationships And Basic Graphs

Evaluate (-8)^6

Possible Answers:

144262

164826

262144

Correct answer:

262144

Explanation:

To evaluate the exponent, we expand (-8)^6 into -8*-8*-8*-8*-8*-8 .

We just multiply the numbers out to get

$\\-8\times -8=64 \\64\times -8=-512 \\-512\times -8=4096 \\4096\times -8=-32768 \\-32768\times -8=262144$ .

Report an Error

View Algebra 2 Tutors

Shakeel
Certified Tutor

View Algebra 2 Tutors

Chaley
Certified Tutor

Arizona State University, Bachelors, Computer Science.

View Algebra 2 Tutors

Gary
Certified Tutor

SUNY at Albany, Bachelor of Science, Economics. Pace University-New York, Masters in Business Administration, Analysis and Fu...

All Algebra II Resources

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

Popular Subjects

GRE Tutors in Atlanta, French Tutors in Dallas Fort Worth, LSAT Tutors in Boston, LSAT Tutors in Phoenix, Calculus Tutors in Atlanta, Calculus Tutors in Dallas Fort Worth, English Tutors in New York City, Algebra Tutors in Washington DC, Statistics Tutors in Atlanta, GMAT Tutors in Miami

Popular Courses & Classes

ACT Courses & Classes in San Francisco-Bay Area, ISEE Courses & Classes in Philadelphia, MCAT Courses & Classes in Seattle, SSAT Courses & Classes in San Diego, SAT Courses & Classes in Washington DC, GRE Courses & Classes in Denver, ACT Courses & Classes in Boston, GMAT Courses & Classes in Philadelphia, LSAT Courses & Classes in Dallas Fort Worth, GMAT Courses & Classes in Miami

Popular Test Prep

SSAT Test Prep in Seattle, ACT Test Prep in Atlanta, SAT Test Prep in Houston, SSAT Test Prep in Atlanta, ACT Test Prep in San Francisco-Bay Area, SAT Test Prep in San Diego, SAT Test Prep in Los Angeles, ISEE Test Prep in San Francisco-Bay Area, GRE Test Prep in Washington DC, ISEE 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 : Algebra II

Study concepts, example questions & explanations for Algebra II

All Algebra II Resources

Example Questions

Example Question #259 : Exponents

Example Question #254 : Exponents

Example Question #3391 : Algebra Ii

Example Question #3392 : Algebra Ii

Example Question #63 : Simple Exponents

Example Question #3393 : Algebra Ii

Example Question #66 : Simple Exponents

Example Question #67 : Simple Exponents

Example Question #68 : Simple Exponents

Example Question #734 : Mathematical Relationships And Basic Graphs

All Algebra II Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: