Call Now to Set Up Tutoring:

(888) 888-0446

Algebra II : Mathematical Relationships and Basic Graphs

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 : Understanding Exponents

Evaluate $\frac{1}{2}^3$

Possible Answers:

$\frac{1}{16}$

$\frac{1}{8}$

$\frac{1}{6}$

$\frac{1}{4}$

$\frac{3}{8}$

Correct answer:

$\frac{1}{8}$

Explanation:

We can expand $\frac{1}{2}^3$ to $\frac{1}{2}*\frac{1}{2}*\frac{1}{2}$ . The product of these fractions is $\frac{1}{8}$ .

Report an Error

Example Question #691 : Mathematical Relationships And Basic Graphs

Simplify: 2^5*4^6

Possible Answers:

$4^{8}$

$2^{15}$

$8^{11}$

$2^{17}$

4^7

Correct answer:

$2^{17}$

Explanation:

Although the exponents are not the same base, we can change the bases. Let's change base to base . We know 4=2^2 . By applying power rule of exponents, we get $4^6=(2^2)^6=2^{12}$ . Finally, with the same base, we just add the exponents and keep the base the same.

$2^5*2^{12}=2^{5+12}=2^{17}$

Report an Error

Example Question #222 : Understanding Exponents

Evaluate (-3)^4

Possible Answers:

Correct answer:

Explanation:

With the negative inside the parenthesis, we multiply the base four times. Since the exponent is even, our answer will be even. Answer is .

Report an Error

Example Question #2 : Expressions & Equations

Expand: 10^7

Possible Answers:

7*10*7*10

10*7

10*10*10*10*10*10*10

10*10*10*10*10

7*7*7*7*7*7*7*7*7*7

Correct answer:

10*10*10*10*10*10*10

Explanation:

To expand the exponent, we just multiply the base out by the exponent present.

10^7= 10*10*10*10*10*10*10

Report an Error

Example Question #223 : Understanding Exponents

Which exponent is NOT the same as 3^6

Possible Answers:

9^3

27^3

729

27^2

243*3

Correct answer:

27^3

Explanation:

We can express 3^6 as 3*3*3*3*3*3 which is the same as 9*9*9 . That is also 9^3 . We can also say it is 27^2 or 729 . Lastly, if we multiply by itself times, we get 243 and another leftover to be multiplied. This leaves 27^3 as the correct answer.

Report an Error

Example Question #224 : Understanding Exponents

Evaluate $\left (\frac{2}{3} \right )^4$

Possible Answers:

$\frac{81}{16}$

$\frac{24}{35}$

$\frac{2}{3}$

$\frac{16}{81}$

$\frac{3}{2}$

Correct answer:

$\frac{16}{81}$

Explanation:

We can expand $\left (\frac{2}{3} \right )^4$ to $\frac{2}{3}*\frac{2}{3}*\frac{2}{3}*\frac{2}{3}$ . The product is $\frac{16}{81}$ .

Report an Error

Example Question #225 : Understanding Exponents

Convert $2^{12}$ to base .

Possible Answers:

8^3

8^6

8^5

8^9

8^4

Correct answer:

8^4

Explanation:

We know 8=2^3 . Now, we need to know the exponent that raises base to match our question. We set-up as such: $(2^3)^x=2^{12}$ .

3x=12 Divide on both sides.

x=4 Answer is 8^4

Report an Error

Example Question #223 : Understanding Exponents

Evaluate: -2^6

Possible Answers:

Correct answer:

Explanation:

-2^6 We need to remember to do the exponent first before applying the negative sign.

Answer is .

Report an Error

Example Question #11 : Write And Evaluate Numerical Expressions With Exponents: Ccss.Math.Content.6.Ee.A.1

Expand:

12^4

Possible Answers:

12*4

4*4*4*4*4*4*4*4*4*4*4*4

144*16

12*12*12*12*4*4*4*4

12*12*12*12

Correct answer:

12*12*12*12

Explanation:

When expanding exponents, we simply multiply the base by itself for the number of times indicated by the exponential value.

12^4=12*12*12*12

Report an Error

Example Question #12 : Write And Evaluate Numerical Expressions With Exponents: Ccss.Math.Content.6.Ee.A.1

Evaluate:

7^4

Possible Answers:

2603

4703

2401

7777

4949

Correct answer:

2401

Explanation:

When expanding exponents, we simply multiply the base by itself for the number of times indicated by the exponential value.

7^4 is expanded out to 7*7*7*7 .

When we multiply the numbers, we get a product of 2401 .

Report an Error

View Algebra 2 Tutors

Mohammad
Certified Tutor

Jamia Millia Islamia, Master of Science, Physics.

View Algebra 2 Tutors

Tom
Certified Tutor

University of Wisconsin-Madison, Bachelor of Science, Atmospheric Sciences and Meteorology. Embry-Riddle Aeronautical Univers...

View Algebra 2 Tutors

Jaahanava
Certified Tutor

University of Windsor, Master's/Graduate, Computer Science .

All Algebra II Resources

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

Popular Subjects

ISEE Tutors in San Diego, ISEE Tutors in Atlanta, Statistics Tutors in New York City, SAT Tutors in New York City, Physics Tutors in Miami, ISEE Tutors in Dallas Fort Worth, SSAT Tutors in Miami, GRE Tutors in Phoenix, English Tutors in Philadelphia, Physics Tutors in Philadelphia

Popular Courses & Classes

MCAT Courses & Classes in Los Angeles, SAT Courses & Classes in Washington DC, MCAT Courses & Classes in Chicago, GRE Courses & Classes in Washington DC, SAT Courses & Classes in Phoenix, LSAT Courses & Classes in Phoenix, GRE Courses & Classes in Miami, GMAT Courses & Classes in San Francisco-Bay Area, GMAT Courses & Classes in Houston, SSAT Courses & Classes in New York City

Popular Test Prep

GRE Test Prep in Philadelphia, SSAT Test Prep in Phoenix, GMAT Test Prep in Boston, MCAT Test Prep in Seattle, GRE Test Prep in Atlanta, ISEE Test Prep in Philadelphia, GMAT Test Prep in Houston, GMAT Test Prep in Miami, GMAT Test Prep in Los Angeles, SSAT Test Prep in Seattle

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 : Mathematical Relationships and Basic Graphs

Study concepts, example questions & explanations for Algebra II

All Algebra II Resources

Example Questions

Example Question #221 : Understanding Exponents

Example Question #691 : Mathematical Relationships And Basic Graphs

Example Question #222 : Understanding Exponents

Example Question #2 : Expressions & Equations

Example Question #223 : Understanding Exponents

Example Question #224 : Understanding Exponents

Example Question #225 : Understanding Exponents

Example Question #223 : Understanding Exponents

Example Question #11 : Write And Evaluate Numerical Expressions With Exponents: Ccss.Math.Content.6.Ee.A.1

Example Question #12 : Write And Evaluate Numerical Expressions With Exponents: Ccss.Math.Content.6.Ee.A.1

All Algebra II Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: