Call Now to Set Up Tutoring:

(888) 888-0446

ACT Math : ACT Math

Study concepts, example questions & explanations for ACT Math

Create An Account

All ACT Math Resources

14 Diagnostic Tests 767 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #2211 : Act Math

Simplify the following:

$(a^{x+n})\cdot(a^{x-n})$

Possible Answers:

$a^{x^{2}-n^{2}}$

$\frac{a^{n^{2}}}{a^{x^{2}}}$

None of these

$(a^{2})^{x^{2}-n^{2}}$

$a^{2x}$

Correct answer:

$a^{2x}$

Explanation:

The rule for multiplying exponents is

$a^m \cdot a^n = a^{m+n}$ .

Using this, we see that

$(a^{x+n})\cdot(a^{x-n}) = a^{((x+n)+(x-n))} = a^{2x}$ .

Thus, our answer is $a^{2x}$ .

Report an Error

Example Question #21 : Exponential Operations

The expression $a^{10}+b^{10}$ is equivalent to which of the following?

Possible Answers:

None of these

(a^2+b^2)^5

$\frac{(a^{20}+b^{20})}{2}$

((a^5)^2)+((b^2)^5)

2(a^5+b^5)

Correct answer:

((a^5)^2)+((b^2)^5)

Explanation:

The formula for multiplying exponents is

$a^m \cdot a^n=a^{m+n}$ .

Using this, we see that

$((a^5)^2) = a^5 \cdot a^5 = a^{10}$ , and

$(b^2)^5=b^2 \cdot b^2 \cdot b^2 \cdot b^2 \cdot b^2 = b^{10}$ .

Report an Error

Example Question #721 : Algebra

Simplify the following: $x^{5}\cdot x^{5}$

Possible Answers:

$x^{15}$

$x^{10}$

$x^{25}$

$x^{225}$

$x^{5}$

Correct answer:

$x^{10}$

Explanation:

When two variables with exponents are multiplied, you can simplify the expression by adding the exponents together. In this particular problem, the correct answer is found by adding the exponents 5 and 5, yielding $x^{10}$ .

Report an Error

Example Question #722 : Algebra

Simplify the following to its simplest exponential expression: $5^{2}\cdot5^{2}$

Possible Answers:

$25^{2}$

$5^{4}$

$25^{4}$

$10^{2}$

Correct answer:

$5^{4}$

Explanation:

When multiplying exponential expressions, the bases remain the same and the exponents are added. Thus, the answer to this question is $5^{4}$ .

Report an Error

Example Question #723 : Algebra

$2^{6}$ can be written as which of the following?

A. $(2^{3})^{2}$

B. $\frac{1}{2^{-5}}$

Possible Answers:

A and C

A only

B and C

C only

A, B and C

Correct answer:

A and C

Explanation:

B is not equivalent because...

$\frac{1}{2^{-5}} = 2^{5} = 32$

A is equivalent because of a property of exponents meaning that $(a^b)^c = a^{bc}$ . Consequently,

$(2^{3})^{2} = 2^{6}$

C is simply computing $2^{6} = 32$ .

Report an Error

Example Question #21 : How To Multiply Exponents

Solve $3x^{3}+2y$ when x=2 and y=4 .

Possible Answers:

Correct answer:

Explanation:

Substitute for and for : $3(2^{3})+2(4)$

Simplify: 3(8)+8

24+8=32

Report an Error

Example Question #724 : Algebra

What is $(4^{3})^{2}$ ?

Possible Answers:

4096

1600

1024

1000

Correct answer:

4096

Explanation:

When an exponent is raised to an exponent, you may simplify by multiplying the exponents together to make a new exponent. In this case, $(4^{3})^{2}$ becomes $4^{6}$ , which equals 4096 .

Report an Error

Example Question #725 : Algebra

Simplify: $x^{6}(x^{4})$

Possible Answers:

$x^{24}$

$x^{10}$

$x^{2}$

$x^{32}$

Correct answer:

$x^{10}$

Explanation:

When exponents with the same base are being multiplied, you may add the exponents together to create a new exponent.

In this case, you would add 6 and 4 to create 10 as the new exponent.

Keeping the same base, the answer becomes $x^{10}$ .

Report an Error

Example Question #26 : Exponential Operations

Solve: $3x^{4}-2y^{2}$ when x=2 and y=1 .

Possible Answers:

Correct answer:

Explanation:

Substitute for and for : $3(2^{4})-2(1^{2})$ .

Simplify: 3(16)-2

48-2=46

Report an Error

Example Question #2212 : Act Math

Simplify: $(y^{3})^{4}$

Possible Answers:

$y^{12}$

$y^{7}$

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

$4y^{3}$

Correct answer:

$y^{12}$

Explanation:

When an exponent is raised to an exponent, multiply the two together to yield a new exponent, and attach that exponent to the original base.

In this case, multiply and to yield , and your answer is $y^{12}$ .

Report an Error

View ACT Math Tutors

Ping
Certified Tutor

The University of Texas at Dallas, Bachelor of Science, Computer Science. University of North Texas, Master of Arts, Education.

View ACT Math Tutors

Maha
Certified Tutor

University of North Carolina at Chapel Hill, Bachelor in Arts, Political Science and Government.

View ACT Math Tutors

Joseph
Certified Tutor

Ferris State University, Bachelor of Science, Applied Mathematics. University of North Carolina at Chapel Hill, Master of Sci...

All ACT Math Resources

14 Diagnostic Tests 767 Practice Tests Question of the Day Flashcards Learn by Concept

ACT Math Tutors in Top Cities:

Atlanta ACT Math Tutors, Austin ACT Math Tutors, Boston ACT Math Tutors, Chicago ACT Math Tutors, Dallas Fort Worth ACT Math Tutors, Denver ACT Math Tutors, Houston ACT Math Tutors, Kansas City ACT Math Tutors, Los Angeles ACT Math Tutors, Miami ACT Math Tutors, New York City ACT Math Tutors, Philadelphia ACT Math Tutors, Phoenix ACT Math Tutors, San Diego ACT Math Tutors, San Francisco-Bay Area ACT Math Tutors, Seattle ACT Math Tutors, St. Louis ACT Math Tutors, Tucson ACT Math Tutors, Washington DC ACT Math Tutors

Popular Courses & Classes

LSAT Courses & Classes in Boston, SSAT Courses & Classes in San Francisco-Bay Area, ISEE Courses & Classes in Atlanta, SSAT Courses & Classes in San Diego, ISEE Courses & Classes in Washington DC, SAT Courses & Classes in Boston, MCAT Courses & Classes in New York City, ACT Courses & Classes in Dallas Fort Worth, GRE Courses & Classes in Washington DC, ACT Courses & Classes in Phoenix

Popular Test Prep

SSAT Test Prep in San Diego, GMAT Test Prep in New York City, ISEE Test Prep in Houston, ISEE Test Prep in Washington DC, LSAT Test Prep in Miami, SAT Test Prep in Los Angeles, ACT Test Prep in Dallas Fort Worth, SAT Test Prep in Miami, ACT 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

ACT Math : ACT Math

Study concepts, example questions & explanations for ACT Math

All ACT Math Resources

Example Questions

Example Question #2211 : Act Math

Example Question #21 : Exponential Operations

Example Question #721 : Algebra

Example Question #722 : Algebra

Example Question #723 : Algebra

Example Question #21 : How To Multiply Exponents

Example Question #724 : Algebra

Example Question #725 : Algebra

Example Question #26 : Exponential Operations

Example Question #2212 : Act Math

All ACT Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: