Call Now to Set Up Tutoring:

(888) 888-0446

PSAT Math : How to multiply exponents

Study concepts, example questions & explanations for PSAT Math

Create An Account

All PSAT Math Resources

10 Diagnostic Tests 421 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #55 : Exponents

If and are nonzero numbers such that a^2 = b^3 , which of the following is equivalent to a^6 ?

Possible Answers:

b^6

b^7

$b^{11}$

b^8

b^9

Correct answer:

b^9

Explanation:

For this problem, we need to make use of the property of exponents, which states that (x^y)^z = x^y^z.

We are given a² but are asked to find a⁶.

Let's raise both sides of the equation to the third power, so that we will end up with a⁶ on the left side.

(a²)³ = (b³)³

Now, according to the property of exponents mentioned before, we can multiply the exponents.

a^(2*3) = b^(3*3)

a⁶ = b⁹

The answer is b⁹.

Report an Error

Example Question #56 : Exponents

If and are positive integers and $2^{2a}(2^{2b})=16$ , what is the value of a +b ?

Possible Answers:

Correct answer:

Explanation:

The question tells us that 2^2a ( 2^2b)= 16.

We can rewrite 16 as 2⁴, giving us 2^2a ( 2^2b)= 2⁴.

When terms with the same base are multipled, their exponents can be added:

2^{(2a +2b)}= 2⁴

Since the base is the same on both sides of the equation, we can equate the exponents:

2a +2b = 4

2(a + b) = 4

a + b = 2

Report an Error

Example Question #51 : Exponents

Simplify:

$\left ( \frac{x}{2t^{2}} \right )^{3}$

Possible Answers:

$\frac{x^{3}}{ 9t^{6} }$

$\frac{x^{3}}{ 8 t^{6} }$

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

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

$\frac{ 8 t^{6} }{x^{3}}$

Correct answer:

$\frac{x^{3}}{ 8 t^{6} }$

Explanation:

Apply the the various properties of exponents:

$\left ( \frac{x}{2t^{2}} \right )^{3}$

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

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

$=\frac{x^{3}}{ 8 t^{2 \cdot 3} }$

$=\frac{x^{3}}{ 8 t^{6} }$

Report an Error

Example Question #1155 : Psat Mathematics

$\textup{If }4^{3}\times8^{2}=2^{y}\textup{, what is the value of }y\textup{ ?}$

Possible Answers:

Correct answer:

Explanation:

$\textup{4 and 8 are powers of 2. Find the common base and set exponents equal:}$

$\left ( 2^{2}\right )^{3}\times \left ( 2^{3}\right )^{2}=2^{y}\: \; \; \; \; \; \;2^{6}\times 2^{6}=2^{y}$

$2^{12}=2^{y}\: \: \: \: \: \: \:12=y$

Report an Error

Example Question #21 : How To Multiply Exponents

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

Possible Answers:

$2x^{7}$

$x^{7}$

This expression cannot be simplified any further

$2x^{10}$

$x^{10}$

Correct answer:

$x^{7}$

Explanation:

When you are multiplying and the bases are the same, you add the exponents together. Because both bases are you add 5+2=7 as your new exponent. You then keep the same base, , to the 7th power.

Report an Error

Example Question #61 : Exponents

Solve for :

$\sqrt[3]{x-3} = 2$

Possible Answers:

$None\ of\ the\ above$

Correct answer:

Explanation:

$\left ( \sqrt[3]{x-3} \right )^{3} = 2^{3}$

Now the left side equals x-3 and the right side equals 8. Hence:

x-3 = 8

Therefore must be equal to 11.

Report an Error

View PSAT Mathematics Tutors

Germaine
Certified Tutor

Princeton University, Bachelor in Arts, Philosophy.

View PSAT Mathematics Tutors

Maggie
Certified Tutor

Kalamazoo College, Bachelor of Science, Computer Science.

View PSAT Mathematics Tutors

Leonard
Certified Tutor

Florida State University, Bachelor of Science, Environmental Science.

All PSAT Math Resources

10 Diagnostic Tests 421 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

GMAT Tutors in Boston, MCAT Tutors in Dallas Fort Worth, Reading Tutors in Chicago, SAT Tutors in Atlanta, SSAT Tutors in San Francisco-Bay Area, Math Tutors in Philadelphia, ACT Tutors in San Diego, French Tutors in Los Angeles, Math Tutors in Atlanta, ISEE Tutors in Dallas Fort Worth

Popular Courses & Classes

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

Popular Test Prep

LSAT Test Prep in Atlanta, MCAT Test Prep in Philadelphia, GMAT Test Prep in Boston, SAT Test Prep in Washington DC, LSAT Test Prep in San Diego, MCAT Test Prep in Denver, GMAT Test Prep in Chicago, GRE Test Prep in Washington DC, GRE Test Prep in New York City, ACT Test Prep in Los Angeles

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

PSAT Math : How to multiply exponents

Study concepts, example questions & explanations for PSAT Math

All PSAT Math Resources

Example Questions

Example Question #55 : Exponents

Example Question #56 : Exponents

Example Question #51 : Exponents

Example Question #1155 : Psat Mathematics

Example Question #21 : How To Multiply Exponents

Example Question #61 : Exponents

All PSAT Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: