We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

ISEE Upper Level Math : Numbers and Operations

Study concepts, example questions & explanations for ISEE Upper Level Math

Create An Account

All ISEE Upper Level Math Resources

6 Diagnostic Tests 244 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

← Previous 1 2 3 4 5 6 7 8 9 10 11 12 Next →

Example Question #111 : Numbers And Operations

Simplify:

$x^{6}\cdot x^{4}$

Possible Answers:

$x^{-2}$

$x^{-10}$

$x^{24}$

$x^{2}$

$x^{10}$

Correct answer:

$x^{10}$

Explanation:

When multiplying exponents, the exponents are added together.

$x^{6}\cdot x^{4} = x^{6+4}=x^{10}$

Report an Error

Example Question #112 : Numbers And Operations

Simplify:

$2x^{2}\cdot 3x^{4}$

Possible Answers:

$6x^{8}$

$6x^{6}$

$6x^{2}$

$5x^{6}$

$\frac{2}{3}x^{6}$

Correct answer:

$6x^{6}$

Explanation:

When multiplying exponents, the exponents are added together.

$2x^{2}\cdot 3x^{4}=6x^{2+4}=6x^{6}$

Report an Error

Example Question #1 : How To Add Exponents

Simplify the expression:

$3x^{4}+6x^{3}-9x^{2}$

Possible Answers:

$3x(x^{2}+3x-3)$

$3x^{2}(x^{2}+2x-3)$

$3x^{2}(x^{2}+2x-3x)$

$3x(x^{2}+2x-3)$

$2x^{2}(x^{2}+2x-3x)$

Correct answer:

$3x^{2}(x^{2}+2x-3)$

Explanation:

To simplify this problem we need to factor out a 3x^2

$3x^{4}+6x^{3}-9x^{2}$

$=3x^{2}(x^{2}+2x-3)$

We can do this because multiplying exponents is the same as adding them. Therefore,

$=3x^{2}(x^{2}+2x-3)$

$=3x^2 \cdot x^2 +3x^2\cdot2x -3x^2\cdot3=3x^{2+2}+3\cdot2x^{2+1}-3\cdot 3x^2$

=3x^4+6x^3-9x^2

Report an Error

Example Question #9 : How To Add Exponents

Solve: $3^5 \cdot 3^{-8}$

Possible Answers:

$\frac{1}{3^{13}}$

$\frac{1}{27}$

$3^{13}$

$\frac{1}{9}$

Correct answer:

$\frac{1}{27}$

Explanation:

It is not necessary to evaluate both terms and multiply.

According to the rules of exponents, when we have the same bases raised to some power that are multiplied with each other, we can add the powers.

$3^5 \cdot 3^{-8} = 3^{5+( -8)} = 3^{-3}$

This term can be rewritten as a fraction.

$3^{-3 } = \frac{1}{3^3} = \frac{1}{27}$

The answer is: $\frac{1}{27}$

Report an Error

Example Question #61 : Exponents

Which of the following is equivalent to the expression below?

$4^{x}\cdot2^{5}$

Possible Answers:

$6^{5x}$

$8^{10x}$

$8^{5x}$

$2^{2x+5}$

Correct answer:

$2^{2x+5}$

Explanation:

When exponents are multiplied by one another, and the base is the same, the exponents can be added together.

The first step is to try to create a common base.

$4^{x}\cdot2^{5}$

Given that the square of 2 is for, the expression can be rewritten as:

$2^{2}^{x}\cdot 2^{5}$

$2^{2x+5}$

Report an Error

Example Question #111 : Numbers And Operations

Simplify:

$(6a^3)(\frac{1}{3}a^2)$

Possible Answers:

a^5

2a^5

2a^4

2a^6

a^6

Correct answer:

2a^5

Explanation:

Based on the product rule for exponents in order to multiply two exponential terms with the same base, add their exponents:

$(x)^a(x)^b=x^{a+b}$

So we can write:

$(6a^3)\left(\frac{1}{3}a^2\right)=\left(\frac{6}{3}\right)\times a^{3+2}=2a^5$

Report an Error

← Previous 1 2 3 4 5 6 7 8 9 10 11 12 Next →

View Tutors

Tynisha
Certified Tutor

Georgia State University, Bachelor in Arts, Political Science and Government. Thomas M Cooley Law School, Juris Doctor, Busin...

View Tutors

Jaroslaw
Certified Tutor

Heriot Watt University, Master of Science, Physics. Heriot Watt University, Doctor of Science, Theoretical and Mathematical P...

View Tutors

Joseph
Certified Tutor

University of Waterloo, Doctor of Philosophy, Applied Mathematics.

All ISEE Upper Level Math Resources

6 Diagnostic Tests 244 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Spanish Tutors in Miami, English Tutors in Washington DC, Statistics Tutors in San Diego, English Tutors in Los Angeles, Math Tutors in Boston, LSAT Tutors in Los Angeles, LSAT Tutors in Washington DC, Math Tutors in Atlanta, MCAT Tutors in Phoenix, MCAT Tutors in Miami

Popular Courses & Classes

GRE Courses & Classes in Miami, SAT Courses & Classes in New York City, GRE Courses & Classes in Seattle, Spanish Courses & Classes in Atlanta, LSAT Courses & Classes in Boston, SAT Courses & Classes in San Diego, MCAT Courses & Classes in Houston, GMAT Courses & Classes in Dallas Fort Worth, ISEE Courses & Classes in Miami, ISEE Courses & Classes in Chicago

Popular Test Prep

GRE Test Prep in Seattle, GMAT Test Prep in Miami, MCAT Test Prep in Chicago, GRE Test Prep in Dallas Fort Worth, GMAT Test Prep in Houston, SSAT Test Prep in Los Angeles, LSAT Test Prep in Dallas Fort Worth, GRE Test Prep in Atlanta, LSAT Test Prep in Chicago, LSAT Test Prep in San Francisco-Bay Area

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

ISEE Upper Level Math : Numbers and Operations

Study concepts, example questions & explanations for ISEE Upper Level Math

All ISEE Upper Level Math Resources

Example Questions

Example Question #111 : Numbers And Operations

Example Question #112 : Numbers And Operations

Example Question #1 : How To Add Exponents

Example Question #9 : How To Add Exponents

Example Question #61 : Exponents

Example Question #111 : Numbers And Operations

All ISEE Upper Level Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: