We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

ACT Math : Exponents

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

← Previous 1 2 3 4 5 6 7 8 9 … 20 21 Next →

Example Question #11 : Exponential Operations

Simplify the following expression:

4x² * 5x³

Possible Answers:

20x⁵

20x⁶

9x⁶

5x⁵

9x⁵

Correct answer:

20x⁵

Explanation:

Since you are multiplying, you multiply the integers and add the exponents, giving you 20x⁵.

Report an Error

Example Question #11 : Exponents

Find the product:

(8x^5y^3)(3x^4z^2y)

Possible Answers:

24x^5y^3x^4z^2y

24y^6z^2

24x^9y^4z^2

$24x^{20}y^{3}z^2$

24xyz

Correct answer:

24x^9y^4z^2

Explanation:

Find the product:

(8x^5y^3)(3x^4z^2y)

Multiply the coefficients, and use the rule for multiplying exponents (add them):

24x^9y^4z^2

Report an Error

Example Question #1 : How To Multiply Exponents

(b * b⁴* b⁷)^1/2/(b³ * b^x) = b⁵

If b is not negative then x = ?

Possible Answers:

–1

–2

Correct answer:

–2

Explanation:

Simplifying the equation gives b⁶/(b^3+x) = b⁵.

In order to satisfy this case, x must be equal to –2.

Report an Error

Example Question #1 : How To Multiply Exponents

If〖7/8〗ⁿ= √(〖7/8〗⁵),then what is the value of n?

Possible Answers:

⁵/₂

¹/₅

²/₅

√5

Correct answer:

⁵/₂

Explanation:

7/8 is being raised to the 5th power and to the ¹/₂ power at the same time. We multiply these to find n.

Report an Error

Example Question #1561 : Gre Quantitative Reasoning

Simplify: (x³ * 2x⁴ * 5y + 4y² + 3y²)/y

Possible Answers:

10x⁷ + 7y

10x⁷y + 7y²

None of the other answers

10x⁷ + 7y³

10x¹¹ + 7y³

Correct answer:

10x⁷ + 7y

Explanation:

Let's do each of these separately:

x³ * 2x⁴ * 5y = 2 * 5 * x³* x⁴* y = 10 * x⁷ * y = 10x⁷y

4y² + 3y² = 7y²

Now, rewrite what we have so far:

(10x⁷y + 7y²)/y

There are several options for reducing this. Remember that when we divide, we can "distribute" the denominator through to each member. That means we can rewrite this as:

(10x⁷y)/y + (7y²)/y

Subtract the y exponents values in each term to get:

10x⁷ + 7y

Report an Error

Example Question #21 : Exponential Operations

Compare $5^{27}(850)$ and $5^{29}(34)$ .

Possible Answers:

$\small \small 5^{27}(850) < 5^{29}(34)$

The answer cannot be determined from the information given.

$\small \small \small 5^{27}(850) = 5^{29}(34)$

$\small 5^{27}(850) > 5^{29}(34)$

Correct answer:

$\small \small \small 5^{27}(850) = 5^{29}(34)$

Explanation:

To compare these expressions more easily, we'll change the first expression to have $5^{29}$ in front. We'll do this by factoring out 25 (that is, $\small 5^{2}$ ) from 850, then using the fact that $\small 5^{27}*5^{2}=5^{29}$ .

$5^{27}(850)=5^{27}(25*34)=5^{27}(5^2*34)$

When we combine like terms, we can see that $5^{27}(5^2*34)=5^{29}(34)$ . The two terms are therefore both equal to the same value.

Report an Error

Example Question #1561 : Gre Quantitative Reasoning

Which of the following is equal to $(5^4*5^5)^{20}$ ?

Possible Answers:

$25^{180}$

$5^{180}$

$5^{40}$

$5^{29}$

$25^{29}$

Correct answer:

$5^{180}$

Explanation:

$x^{a} \times x^{b}$ is always equal to $x^{a + b}$ ; therefore, 5 raised to 4 times 5 raised to 5 must equal 5 raised to 9.

$(5^4*5^5)^{20}=(5^{(4+5)})^{20}=(5^9)^{20}$

$(x^{a})^{b}$ is always equal to $x^{(a*b)}$ . Therefore, 5 raised to 9, raised to 20 must equal 5 raised to 180.

$(5^9)^{20}=5^{(9*20)}=5^{180}$

Report an Error

Example Question #1 : How To Multiply Exponents

Which of the following is equal to ((6^7)(5^7))^7 ?

Possible Answers:

$210^{7}$

$30^{14}$

$12^{49}$

$77^{7}$

$30^{49}$

Correct answer:

$30^{49}$

Explanation:

First, multiply inside the parentheses: (6^7)(5^7)=30^7 .

Then raise to the 7th power: $(30^7)^7=30^{49}$ .

Report an Error

Example Question #21 : Exponents

Simplify:

$(6x^{2})^{3}\cdot x^{-7}\cdot 2x^{4}$

Possible Answers:

$12x^{2}$

$432x^{3}$

$6x^{2}$

Correct answer:

$432x^{3}$

Explanation:

Remember, we add exponents when their bases are multiplied, and multiply exponents when one is raised to the power of another. Negative exponents flip to the denominator (presuming they originally appear in the numerator).

$(6x^{2})^{3}\cdot x^{-7}\cdot 2x^{4}$

$=\frac{216x^{6}\cdot 2x^{4}}{x^{7}}$

$=\frac{432x^{10}}{x^{7}}$

$=432x^{3}$

Report an Error

Example Question #11 : Exponential Operations

Evaluate:

$y=\frac{3^{13}-9^{5}}{\left ( \frac{1}{27} \right )^{-3}}$

Possible Answers:

$\dpi{100} \small 78$

$\dpi{100} \small 81$

$\dpi{100} \small 27$

$\dpi{100} \small 30$

$\dpi{100} \small 24$

Correct answer:

$\dpi{100} \small 78$

Explanation:

Can be simplified to:

Capture2

Report an Error

← Previous 1 2 3 4 5 6 7 8 9 … 20 21 Next →

View ACT Math Tutors

Elvis
Certified Tutor

Methodist University, Bachelor of Science, Mathematics and Computer Science.

View ACT Math Tutors

Rahul
Certified Tutor

University of Calgary , Master's/Graduate, Aerospace engineering .

View ACT Math Tutors

Erik Weijie
Certified Tutor

University of Florida, Bachelor of Science, Chemical Engineering.

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

GMAT Courses & Classes in Miami, LSAT Courses & Classes in San Diego, Spanish Courses & Classes in Miami, MCAT Courses & Classes in Seattle, SAT Courses & Classes in Los Angeles, MCAT Courses & Classes in Atlanta, ACT Courses & Classes in Atlanta, SSAT Courses & Classes in Atlanta, GMAT Courses & Classes in Washington DC, GMAT Courses & Classes in Boston

Popular Test Prep

ISEE Test Prep in Houston, ACT Test Prep in Chicago, MCAT Test Prep in Miami, MCAT Test Prep in Seattle, SAT Test Prep in Boston, SSAT Test Prep in Miami, GMAT Test Prep in New York City, ISEE Test Prep in Boston, ACT Test Prep in San Francisco-Bay Area, ISEE 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

ACT Math : Exponents

Study concepts, example questions & explanations for ACT Math

All ACT Math Resources

Example Questions

Example Question #11 : Exponential Operations

Example Question #11 : Exponents

Example Question #1 : How To Multiply Exponents

Example Question #1 : How To Multiply Exponents

Example Question #1561 : Gre Quantitative Reasoning

Example Question #21 : Exponential Operations

Example Question #1561 : Gre Quantitative Reasoning

Example Question #1 : How To Multiply Exponents

Example Question #21 : Exponents

Example Question #11 : Exponential Operations

All ACT Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: