Call Now to Set Up Tutoring:

(888) 888-0446

ISEE Upper Level Math : Exponents

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

Example Question #6 : How To Multiply Exponents

If x=2 , find the value of:

$\frac{3x^{\sqrt{2}}(x^{\sqrt{3}})^\sqrt{3}}{x^{\sqrt{2}}}$

Possible Answers:

Correct answer:

Explanation:

Based on the power rule for exponents we can write:

$(a^m)^{n}=a^{m\times n}$

That means; to raise a power to a power we need to multiply the exponents. So we can write:

$\frac{3x^{\sqrt{2}}(x^{\sqrt{3}})^\sqrt{3}}{x^{\sqrt{2}}}=3\times \left(\frac{x^{\sqrt{2}}}{x^{\sqrt{2}}}\right) \times (x^{\sqrt{3}})^{\sqrt{3}}=3x^{\sqrt{3}\times \sqrt{3}}=3x^3$

Substitute x=2 and we get:

$3x^3=3\times 2^3=3\times 8=24$

Report an Error

Example Question #511 : Isee Upper Level (Grades 9 12) Mathematics Achievement

Simplify:

$(x^{2\sqrt{2}})^{3\sqrt{2}}$

Possible Answers:

$x^{6}$

$x^{2}$

$x^{6\sqrt{}2}$

$x^{12}$

$x^{8}$

Correct answer:

$x^{12}$

Explanation:

Based on the power rule, we know that in order to raise a power to a power we need to multiply the exponents, i.e.

$(x^{m})^{n}=x^{m\times n}$ .

$(x^{2\sqrt{2}})^{3\sqrt{2}}=x^{2\sqrt{2}\times 3\sqrt{2}}=x^{2\times 3\times 2}=x^{12}$

Report an Error

Example Question #72 : Numbers And Operations

Simplify:

$(\frac{12x^{3}}{3x^{-1}})^{4}$

Possible Answers:

$16x^{16}$

$256x^{16}$

$16x^{8}$

$256x^{12}$

$256x^{8}$

Correct answer:

$256x^{16}$

Explanation:

The Negative Exponent Rule says $a^{-n}=\frac{1}{a^n}$ .

$(\frac{12x^{3}}{3x^{-1}})^{4}=(\frac{12}{3}\times x^{3+1})^{4}=(4x^4)^{4}$

The power rule says that, in order to raise a power to a power, we need to multiply the exponents, i.e. $(x^{m})^{n}=x^{m\times n}$ .

$(\frac{12x^{3}}{3x^{-1}})^{4}=(4x^4)^{4}=4^4\times x^{4\times 4}=256x^{16}$

Report an Error

Example Question #71 : Numbers And Operations

What is the value of this equation?

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

Possible Answers:

$x^{6}-32$

$x^{5}-64$

$x^{6}+64$

$x^{6}-64$

Correct answer:

$x^{6}-64$

Explanation:

When an exponent is raised to another exponent, the exponents should be multiplied toghether. This will result in:

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

$x^{6}-2^{6}$

$x^{6}-64$

Report an Error

Example Question #72 : Numbers And Operations

Which expression is equal to $(x^{2})^{3}$ ?

Possible Answers:

$x^{6}$

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

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

$x^{5}$

Correct answer:

$x^{6}$

Explanation:

When exponent of a value is raised to another exponent, the values of the exponents are multiplied by each other.

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

2 is multiplied by 3, and so the exponent of x is 6.

$x^{6}$

Report an Error

Example Question #73 : Numbers And Operations

What is the value of $(2^{6})^{\frac{1}{2}}$ ?

Possible Answers:

Correct answer:

Explanation:

When one exponent is raised to another exponent, the values of the exponents should be multiplied together. Thus,

$(2^{6})^{\frac{1}{2}}$ can be simplified to $2^{3}$ , given that $6\cdot \frac{1}{2}=3$ .

$2^{3}=2\cdot2\cdot2=8$

Report an Error

Example Question #74 : Numbers And Operations

What is the expression below equal to?

$3x^{4}*5x^{9}$

Possible Answers:

$8x^{9}$

$8x^{36}$

$15x^{36}$

$15x^{13}$

Correct answer:

$15x^{13}$

Explanation:

When exponents are multiplied by each other, the powers should be added together. Meanwhile, numbers not raised to an exponent are simply multiplied by each other.

Therefore, the answer is $15x^{13}$ , because 3*5=15 , and 9+4=13 .

Report an Error

Example Question #21 : Exponents

What is the value of $-1^{323}$ ?

Possible Answers:

323

Correct answer:

Explanation:

1 raised to any exponent will always be 1.

-1 will be equal to 1 when the exponent is even and will be equal to -1 when the exponent is odd.

Given that 323 is odd, $-1^{323}$ is equal to -1.

Report an Error

Example Question #22 : Exponents

Simplify the following:

6x^5*5x^6*3x^2

Possible Answers:

$14x^{90}$

$33x^{11}$

$45x^{7}$

$90x^{13}$

Correct answer:

$90x^{13}$

Explanation:

Simplify the following:

6x^5*5x^6*3x^2

Let's begin by recalling two rules

1) When multiplying variables with a common base, add the exponents.

2) When multiplying variables with a common base, multiply the coefficients.

$6x^5*5x^6*3x^2=(5*6*3)x^{5+6+2}=90x^{13}$

So, our answer is

$90x^{13}$

Report an Error

Example Question #1 : How To Divide Exponents

Simplify: $\frac{12x^{12}}{3x^{3}}$

Possible Answers:

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

$4x^{4}$

$4x^{9}$

$9x^{9}$

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

Correct answer:

$4x^{9}$

Explanation:

Separate the fraction and apply the quotient of powers rule:

$\frac{12x^{12}}{3x^{3}} = \frac{12}{3} \cdot \frac{x^{12}}{x^{3}} = 4x^{12-3} = 4x^{9}$

Report an Error

View Tutors

Kaitlyn
Certified Tutor

Fairfield University, Bachelor of Science, Biology, General. NUI Galway Ireland, Master of Science, Neuroscience.

View Tutors

Magda
Certified Tutor

Heritage College, Bachelor of Science, Education.

View Tutors

Claire
Certified Tutor

Augustana College, Bachelor of Fine Arts, Music Teacher Education.

All ISEE Upper Level Math Resources

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

Popular Subjects

Reading Tutors in Philadelphia, MCAT Tutors in Philadelphia, Computer Science Tutors in Phoenix, GMAT Tutors in Atlanta, Spanish Tutors in Washington DC, GRE Tutors in Boston, SAT Tutors in Atlanta, ACT Tutors in New York City, Spanish Tutors in Los Angeles, Spanish Tutors in Seattle

Popular Courses & Classes

ISEE Courses & Classes in Phoenix, SSAT Courses & Classes in San Diego, MCAT Courses & Classes in Houston, Spanish Courses & Classes in San Diego, SSAT Courses & Classes in Houston, SAT Courses & Classes in Houston, LSAT Courses & Classes in Philadelphia, ISEE Courses & Classes in Los Angeles, GRE Courses & Classes in Phoenix, SAT Courses & Classes in Dallas Fort Worth

Popular Test Prep

LSAT Test Prep in Houston, SSAT Test Prep in Dallas Fort Worth, LSAT Test Prep in San Diego, LSAT Test Prep in Denver, SAT Test Prep in Atlanta, ACT Test Prep in Houston, SAT Test Prep in Washington DC, MCAT Test Prep in San Diego, LSAT Test Prep in Phoenix, LSAT Test Prep in New York City

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 : Exponents

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

All ISEE Upper Level Math Resources

Example Questions

Example Question #6 : How To Multiply Exponents

Example Question #511 : Isee Upper Level (Grades 9 12) Mathematics Achievement

Example Question #72 : Numbers And Operations

Example Question #71 : Numbers And Operations

Example Question #72 : Numbers And Operations

Example Question #73 : Numbers And Operations

Example Question #74 : Numbers And Operations

Example Question #21 : Exponents

Example Question #22 : Exponents

Example Question #1 : How To Divide Exponents

All ISEE Upper Level Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: