Call Now to Set Up Tutoring:

(888) 888-0446

Common Core: High School - Number and Quantity : High School: Number and Quantity

Study concepts, example questions & explanations for Common Core: High School - Number and Quantity

Create An Account

All Common Core: High School - Number and Quantity Resources

6 Diagnostic Tests 49 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : Rational Exponents: Ccss.Math.Content.Hsn Rn.A.1

Evaluate: $64^{\frac{2}{3}}$ $\displaystyle 64^{\frac{2}{3}}$

Possible Answers:

$\displaystyle 16$

$\displaystyle 4$

$\displaystyle 64$

$\displaystyle 32$

Correct answer:

$\displaystyle 16$

Explanation:

To evaluate this, let's rewrite the problem.

$64^{\frac{2}{3}}=(\sqrt[3]{64})^2$ $\displaystyle 64^{\frac{2}{3}}=(\sqrt[3]{64})^2$

Now lets break down the cube root.

$(\sqrt[3]{64})^2=(\sqrt[3]{4\cdot4\cdot4})^2=(\sqrt[3]{4^3})^2=4^2=16$ $\displaystyle (\sqrt[3]{64})^2=(\sqrt[3]{4\cdot4\cdot4})^2=(\sqrt[3]{4^3})^2=4^2=16$

Report an Error

Example Question #2 : Rational Exponents: Ccss.Math.Content.Hsn Rn.A.1

Evaluate: $36^{\frac{1}{2}}$ $\displaystyle 36^{\frac{1}{2}}$

Possible Answers:

$\displaystyle 6$

$\displaystyle 12$

$\displaystyle 18$

$\displaystyle 72$

Correct answer:

$\displaystyle 6$

Explanation:

To evaluate this, let's rewrite the problem.

$36^{\frac{1}{2}}=\sqrt{36}$ $\displaystyle 36^{\frac{1}{2}}=\sqrt{36}$

Now lets break down the square root.

$\sqrt{36}=\sqrt{6\cdot6}=\sqrt{6^2}=6$ $\displaystyle \sqrt{36}=\sqrt{6\cdot6}=\sqrt{6^2}=6$

Report an Error

Example Question #1 : The Real Number System

Evaluate: $9^{\frac{1}{2}}$ $\displaystyle 9^{\frac{1}{2}}$

Possible Answers:

$\displaystyle 6$

$\displaystyle 3$

4.5 $\displaystyle 4.5$

$\displaystyle 18$

Correct answer:

$\displaystyle 3$

Explanation:

To evaluate this, let's rewrite the problem.

$9^{\frac{1}{2}}=\sqrt{9}$ $\displaystyle 9^{\frac{1}{2}}=\sqrt{9}$

Now lets break down the square root.

$\sqrt{9}=\sqrt{3\cdot3}=\sqrt{3^2}=3$ $\displaystyle \sqrt{9}=\sqrt{3\cdot3}=\sqrt{3^2}=3$

Report an Error

Example Question #3 : Rational Exponents: Ccss.Math.Content.Hsn Rn.A.1

Evaluate: $49^{\frac{2}{2}}$ $\displaystyle 49^{\frac{2}{2}}$

Possible Answers:

$\displaystyle 49$

$\displaystyle 7$

$\displaystyle 1$

$\displaystyle 28$

Correct answer:

$\displaystyle 49$

Explanation:

To solve this, let's reduce the exponent, and then solve.

$49^{\frac{2}{2}}=49^{\frac{1}{1}}=49^1=49$ $\displaystyle 49^{\frac{2}{2}}=49^{\frac{1}{1}}=49^1=49$

Report an Error

Example Question #1 : High School: Number And Quantity

Evaluate: $1^{\frac{1}{3}}$ $\displaystyle 1^{\frac{1}{3}}$

Possible Answers:

1.3333 $\displaystyle 1.3333$

$\displaystyle 3$

$\frac{1}{3}$ $\displaystyle \frac{1}{3}$

$\displaystyle 1$

Correct answer:

$\displaystyle 1$

Explanation:

One to any power is just $\displaystyle 1$, so $1^{\frac{1}{3}}=1$ $\displaystyle 1^{\frac{1}{3}}=1$

Report an Error

Example Question #3 : High School: Number And Quantity

Evaluate: $64^{\frac{1}{3}}$ $\displaystyle 64^{\frac{1}{3}}$

Possible Answers:

$\displaystyle 4$

$\frac{16}{3}$ $\displaystyle \frac{16}{3}$

$\frac{64}{3}$ $\displaystyle \frac{64}{3}$

$\displaystyle 3$

$\displaystyle 16$

Correct answer:

$\displaystyle 4$

Explanation:

To evaluate this, let's rewrite the problem.

$64^{\frac{1}{3}}=\sqrt[3]{64}$ $\displaystyle 64^{\frac{1}{3}}=\sqrt[3]{64}$

Now lets break down the cube root.

$\sqrt[3]{64}=\sqrt[3]{4\cdot4\cdot4}=\sqrt[3]{4^3}=4$ $\displaystyle \sqrt[3]{64}=\sqrt[3]{4\cdot4\cdot4}=\sqrt[3]{4^3}=4$

Report an Error

Example Question #2 : High School: Number And Quantity

Evaluate: $100^{\frac{2}{2}}$ $\displaystyle 100^{\frac{2}{2}}$

Possible Answers:

$\displaystyle 10$

$\displaystyle 1$

1000 $\displaystyle 1000$

100 $\displaystyle 100$

Correct answer:

100 $\displaystyle 100$

Explanation:

To solve this, let's reduce the exponent, and then solve.

$100^{\frac{2}{2}}=100^{\frac{1}{1}}=100^1=100$ $\displaystyle 100^{\frac{2}{2}}=100^{\frac{1}{1}}=100^1=100$

Report an Error

Example Question #3 : High School: Number And Quantity

Evaluate: $0^{\frac{1}{3}}$ $\displaystyle 0^{\frac{1}{3}}$

Possible Answers:

$\frac{1}{3}$ $\displaystyle \frac{1}{3}$

$\displaystyle 0$

$\displaystyle 1$

$\text{Not defined}$ $\displaystyle \text{Not defined}$

Correct answer:

$\displaystyle 0$

Explanation:

Zero to any power is just $\displaystyle 0$, expect when the power is $\displaystyle 0$. So $0^{\frac{1}{3}}=0$ $\displaystyle 0^{\frac{1}{3}}=0$

Report an Error

Example Question #4 : High School: Number And Quantity

Evaluate: $0^{0}$ $\displaystyle 0^{0}$

Possible Answers:

$\displaystyle 0$

$\displaystyle 1$

$\text{Not possible}$ $\displaystyle \text{Not possible}$

$\text{Undefined}$ $\displaystyle \text{Undefined}$

Correct answer:

$\displaystyle 1$

Explanation:

Zero raised to the zero is equal to one, otherwise it is equal to zero. $0^{0}=1$ $\displaystyle 0^{0}=1$

Report an Error

Example Question #5 : High School: Number And Quantity

Evaluate: $144^{\frac{4}{2}}$ $\displaystyle 144^{\frac{4}{2}}$

Possible Answers:

144 $\displaystyle 144$

$\displaystyle 72$

288 $\displaystyle 288$

20736 $\displaystyle 20736$

Correct answer:

20736 $\displaystyle 20736$

Explanation:

The first part to solving this problem is reducing the exponent, and then solving.

$144^{\frac{4}{2}}=144^{\frac{2}{1}}=144^2=20736$ $\displaystyle 144^{\frac{4}{2}}=144^{\frac{2}{1}}=144^2=20736$

Report an Error

View Tutors

Kathleen
Certified Tutor

Oklahoma State University-Main Campus, Bachelor of Education, Special Education. University of Houston, Masters in Education,...

View Tutors

Yesol
Certified Tutor

Ohio State University - Columbus, Bachelor's (in progress), chemical engineering.

View Tutors

Micah
Certified Tutor

University of South Carolina, Bachelor's, Studio Art and Art History. University of Connecticut, Master's/Graduate, Studio Art.

All Common Core: High School - Number and Quantity Resources

6 Diagnostic Tests 49 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Algebra Tutors in Dallas Fort Worth, GRE Tutors in Seattle, GMAT Tutors in Boston, Calculus Tutors in Seattle, English Tutors in Chicago, English Tutors in Seattle, Physics Tutors in Seattle, Computer Science Tutors in Chicago, GMAT Tutors in Los Angeles, Statistics Tutors in Washington DC

Popular Courses & Classes

SAT Courses & Classes in Miami, MCAT Courses & Classes in Atlanta, GMAT Courses & Classes in New York City, MCAT Courses & Classes in San Diego, ISEE Courses & Classes in Miami, SSAT Courses & Classes in Chicago, GRE Courses & Classes in Atlanta, GMAT Courses & Classes in Houston, SAT Courses & Classes in Phoenix, SSAT Courses & Classes in New York City

Popular Test Prep

GMAT Test Prep in New York City, MCAT Test Prep in San Francisco-Bay Area, ISEE Test Prep in Seattle, GMAT Test Prep in San Diego, GMAT Test Prep in Houston, GMAT Test Prep in Dallas Fort Worth, MCAT Test Prep in Phoenix, SAT Test Prep in San Diego, LSAT Test Prep in Houston, GRE Test Prep in Philadelphia

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

Common Core: High School - Number and Quantity : High School: Number and Quantity

Study concepts, example questions & explanations for Common Core: High School - Number and Quantity

All Common Core: High School - Number and Quantity Resources

Example Questions

Example Question #1 : Rational Exponents: Ccss.Math.Content.Hsn Rn.A.1

Example Question #2 : Rational Exponents: Ccss.Math.Content.Hsn Rn.A.1

Example Question #1 : The Real Number System

Example Question #3 : Rational Exponents: Ccss.Math.Content.Hsn Rn.A.1

Example Question #1 : High School: Number And Quantity

Example Question #3 : High School: Number And Quantity

Example Question #2 : High School: Number And Quantity

Example Question #3 : High School: Number And Quantity

Example Question #4 : High School: Number And Quantity

Example Question #5 : High School: Number And Quantity

All Common Core: High School - Number and Quantity Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: