We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

ISEE Upper Level Math : ISEE Upper Level (grades 9-12) Mathematics Achievement

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 … 95 96 97 98 99 100 101 102 103 Next →

Example Question #7 : How To Divide Exponential Variables

Simplify:

$\frac{8x^{-2a}y^{2a}}{4x^ay^{-2a}}$

Possible Answers:

$y^{4a}}{x^{3a}$

$\frac{y^{4a}}{x^{3a}}$

$\frac{2y^{4a}}{x^{3a}}$

$2y^{4a}}{x^{3a}$

$\frac{2y^{3a}}{x^{3a}}$

Correct answer:

$\frac{2y^{4a}}{x^{3a}}$

Explanation:

Break up the fraction into components with like-terms.

$\frac{8x^{-2a}y^{2a}}{4x^ay^{-2a}}=\frac{8}{4}\times \frac{x^{-2a}}{x^a}\times \frac{y^{2a}}{y^{-2a}}$

Simplify by combining exponents. Remember that exponents in the denominator will become negative.

$2\times x^{(-2a-a)}\times y^{(2a+2a)}$

$2x^{-3a}y^{4a}$

Finally, put any negative exponent terms into the denominator.

$\frac{2y^{4a}}{x^{3a}}$

Report an Error

Example Question #2 : How To Divide Exponential Variables

Simplify:

$\frac{(2xy)^{6}}{2x^{2} y^{8}}$

Possible Answers:

$32 x^{4} y^{2}$

$\frac{32y^{2} }{ x^{4}}$

$\frac{32 }{ x^{4}y^{2}}$

$\frac{32 x^{4} }{ y^{2}}$

Correct answer:

$\frac{32 x^{4} }{ y^{2}}$

Explanation:

$\frac{(2xy)^{6}}{2x^{2} y^{8}}$

$= \frac{2^{6} \cdot x^{6}y^{6}}{2x^{2} y^{8}}$

$= \frac{64 x^{6-2}}{2 y^{8-6}}$

$= \frac{32 x^{4} }{ y^{2}}$

Report an Error

Example Question #9 : How To Divide Exponential Variables

Divide the following:

$x^8 \div x^2$

Possible Answers:

x^4

x^3

x^6

x^2

$x^{10}$

Correct answer:

x^6

Explanation:

To divide variables with exponents, we will use the following formula:

$x^a \div x^b = x^{a-b}$

Now, let’s combine the following:

$x^8 \cdot x^2 = x^{8-2}$

$x^8 \cdot x^2 = x^{6}$

Report an Error

Example Question #10 : How To Divide Exponential Variables

Divide the following:

$\frac{a^2 b^4}{a b^2}$

Possible Answers:

a^3b^6

a^3b

a^2b

ab^2

Correct answer:

ab^2

Explanation:

When dividing variables, we can only divide like variable.

Also, when dividing variables with exponents, we subtract the exponents. In other words:

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

So, we get

$\frac{a^2 b^4}{a b^2}$

$\frac{a^2b^4}{a^1b^2}$

$a^{2-1}b^{4-2}$

a^1b^2

ab^2

Report an Error

Example Question #131 : Variables

Simplify:

$y^{12} \div y^2$

Possible Answers:

y^4

$y^{10}$

$y^{14}$

y^6

y^8

Correct answer:

$y^{10}$

Explanation:

To simplify, we will use the following formula:

$x^a \div x^b = x^{a-b}$

So, given the problem, we get

$y^{12} \div y^2 = y^{12-2}$

$y^{12} \div y^2 = y^{10}$

Report an Error

Example Question #132 : Variables

Divide the following:

$\frac{h^{10}}{h^2}$

Possible Answers:

h^1

h^8

$h^{12}$

h^5

$h^{20}$

Correct answer:

h^8

Explanation:

To divide like terms with exponents, we will use the following formula:

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

So, we get

$\frac{h^{10}}{h^2}$

$h^{10-2}$

h^8

Report an Error

Example Question #133 : Variables

Divide the following:

$\frac{y^9}{y^3}$

Possible Answers:

y^2

y^3

y^8

y^6

2y^2

Correct answer:

y^6

Explanation:

To divide like variables with exponents, we will use the following formula:

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

So, we get

$\frac{y^9}{y^3} = y^{9-3}$

$\frac{y^9}{y^3} = y^6$

Report an Error

Example Question #134 : Variables

Divide the following::

$p^9 \div p^3$

Possible Answers:

p^1

p^3

$p^{12}$

p^6

$p^{93}$

Correct answer:

p^6

Explanation:

To divide variables with exponents, we will use the following formula:

$x^a \div x^b = x^{a-b}$

Now, let’s divide the following:

$p^9 \div p^3 = p^{9-3}$

$p^9 \div p^3 = p^{6}$

Report an Error

Example Question #135 : Variables

Solve the following:

$\frac{18x^4}{9x}$

Possible Answers:

9x^3

9x^2

2x^4

2x^3

Correct answer:

2x^3

Explanation:

To divide like variables with exponents, we will use the following formula:

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

Also, we divide the coefficients like normal.

So, we get

$\frac{18x^4}{9x}$

$\frac{2x^4}{1x}$

$\frac{2x^4}{x}$

$\frac{2x^4}{x^1}$

$2x^{4-1}$

2x^3

Report an Error

← Previous 1 2 … 95 96 97 98 99 100 101 102 103 Next →

View Tutors

Crystal
Certified Tutor

SUNY at Binghamton, Bachelor of Science, Mechanical Engineering.

View Tutors

Reuben
Certified Tutor

University of Alberta, Bachelor of Science, Mathematics.

View Tutors

Tynisha
Certified Tutor

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

All ISEE Upper Level Math Resources

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

Popular Subjects

GRE Tutors in Los Angeles, GRE Tutors in Boston, Math Tutors in Washington DC, GRE Tutors in New York City, Calculus Tutors in Seattle, Physics Tutors in New York City, Statistics Tutors in Houston, GMAT Tutors in Philadelphia, Chemistry Tutors in Philadelphia, French Tutors in Miami

Popular Courses & Classes

ACT Courses & Classes in San Diego, GMAT Courses & Classes in San Diego, Spanish Courses & Classes in Denver, ISEE Courses & Classes in Chicago, GMAT Courses & Classes in New York City, Spanish Courses & Classes in Boston, ACT Courses & Classes in Washington DC, SSAT Courses & Classes in Philadelphia, GRE Courses & Classes in San Diego, SSAT Courses & Classes in Houston

Popular Test Prep

GRE Test Prep in Chicago, ISEE Test Prep in Los Angeles, GRE Test Prep in Washington DC, GMAT Test Prep in New York City, SSAT Test Prep in Miami, ISEE Test Prep in Boston, SSAT Test Prep in Boston, ACT Test Prep in Washington DC, GMAT Test Prep in Washington DC, GMAT Test Prep in Miami

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 : ISEE Upper Level (grades 9-12) Mathematics Achievement

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

All ISEE Upper Level Math Resources

Example Questions

Example Question #7 : How To Divide Exponential Variables

Example Question #2 : How To Divide Exponential Variables

Example Question #9 : How To Divide Exponential Variables

Example Question #10 : How To Divide Exponential Variables

Example Question #131 : Variables

Example Question #132 : Variables

Example Question #133 : Variables

Example Question #134 : Variables

Example Question #135 : Variables

All ISEE Upper Level Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: