Call Now to Set Up Tutoring:

(888) 888-0446

SAT Math : How to divide exponents

Study concepts, example questions & explanations for SAT Math

Create An Account

All SAT Math Resources

16 Diagnostic Tests 660 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #541 : Algebra

$\frac{9^{-7}}{9^{-8}}$

Possible Answers:

$9^{15}$

$9^{-1}$

$9^{-15}$

9^2

Correct answer:

Explanation:

When dividing exponents, we need to make sure we have the same base. In this case we do. Since we are subtracting with a negative value, then it becomes addition. So far, we have -7+8 . Since is greater than and is positive, the answer must be positive. We just treat this as a subtraction problem. The answer is $9^{-7-(-8)}=9^{-7+8}=9$ .

Report an Error

Example Question #132 : Exponents

$\frac{13^{-3}}{13^6}$

Possible Answers:

13^9

$13^{-9}$

$13^{18}$

13^3

$13^{-18}$

Correct answer:

$13^{-9}$

Explanation:

When dividing exponents, we need to make sure we have the same base. In this case we do. Then we just subtract the exponents. Since we are subtracting a positive value, the sign becomes negative. We treat the expression as addition but the answer is negative. The answer is $13^{-3-(6)}=13^{-3-6}=13^{-9}$ .

Report an Error

Example Question #543 : Algebra

$\frac{19^{-7}}{19^{-7}}$

Possible Answers:

$19^{49}$

$19^{14}$

$19^{-14}$

Correct answer:

Explanation:

When dividing exponents, we need to make sure we have the same base. In this case we do. Since we are subtracting with a negative value, then it becomes addition. So far, we have -7+7 . This is essentially . Anything except raised to power is . Answer is .

Report an Error

Example Question #544 : Algebra

$\frac{9^4}{27^2}$

Possible Answers:

3^8

$\frac{1}{3}^2$

27^2

9^2

3^2

Correct answer:

3^2

Explanation:

When dividing exponents, we need to make sure we have the same base. In this case we don't. However we can convert 9, 27 to bases of . 9=3^2, 27=3^3 .We have changed the base and need to determine the exponent by doing a proportion. $\frac{1}{2}=\frac{4}{x}$ . The top represents the power raised from base . The bottom represents the power raised from base . When we cross-multiply, we get . 9^4=3^8

$\frac{1}{3}=\frac{2}{x}$ . The top represents the power raised from base . The bottom represents the power raised from base . When we cross-multiply, we get . 27^2=3^6

We now have the same bases and now we just subtract the exponents. The answer is $3^{8-6}=3^2$ .

Report an Error

Example Question #545 : Algebra

$\frac{9^{12}}{3^5}$

Possible Answers:

3^7

$3^{29}$

$3^{19}$

$3^{60}$

27^7

Correct answer:

$3^{19}$

Explanation:

When dividing exponents, we need to make sure we have the same base. In this case we don't, but 9=3^2 .We have changed the base and need to determine the exponent by doing a proportion. $\frac{1}{2}=\frac{12}{x}$ . The top represents the power raised from base . The bottom represents the power raised from base . When we cross-multiply, we get . We now have the same bases and now we just subtract the exponents. The answer is $3^{24-5}=3^{19}$ .

Report an Error

Example Question #546 : Algebra

$\frac{4^2}{2^3}$

Possible Answers:

8^6

$2^{1.5}$

$2^{-1}$

Cannot be determined

Correct answer:

Explanation:

When dividing exponents, we need to make sure we have the same base. In this case we don't, but 4=2^2 .We have changed the base and need to determine the exponent by doing a proportion. $\frac{1}{2}=\frac{2}{x}$ . The top represents the power raised from base . The bottom represents the power raised from base . When we cross-multiply, we get . We now have the same bases and now we just subtract the exponents. The answer is $2^{4-3}=2^1=2$ .

Report an Error

Example Question #542 : Algebra

$\frac{3^5*2^5}{6^7}$

Possible Answers:

$6^{35}$

Cannot be determined

$6^{12}$

6^2

$6^{-2}$

Correct answer:

$6^{-2}$

Explanation:

When dividing exponents, we need to make sure we have the same base. In this case we don't. However, 6=2*3 . To convert to base of , we need to ensure the and base are raised to the same exponent. They are so therefore 2^5*3^5=6^5 . With same base now, we can subtract the exponents. The answer is $6^{5-7}=6^{-2}$ .

Report an Error

Example Question #1 : New Sat Math No Calculator

Simplify:

$\frac{\left ( 5 st^{2} \right )^{3}}{s^{4} \cdot 50 t}$

Possible Answers:

None of the other responses gives a correct answer.

$\frac{ 3 t^{5} }{10s }$

$\frac{ 5 t^{5} }{2s }$

$\frac{ 5 t^{4} }{2s }$

$\frac{ 3 t^{4} }{10s }$

Correct answer:

$\frac{ 5 t^{5} }{2s }$

Explanation:

$\frac{\left ( 5 st^{2} \right )^{3}}{s^{4} \cdot 50 t}$

$=\frac{5^{3} s^{3}\left ( t^{2} \right )^{3}}{50 s^{4} t}$

$=\frac{125 s^{3}\cdot t^{2 \cdot 3} }{50 s^{4} t}$

$=\frac{125 s^{3} t^{6} }{50 s^{4} t}$

$=\frac{125 }{50 } \cdot \frac{s^{3} t^{6} }{s^{4} t}$

$=\frac{5 }{2 } \cdot \frac{ t^{6-1} }{s^{4-3} }$

$=\frac{5 }{2 } \cdot \frac{ t^{5} }{s^{1} }$

$= \frac{ 5 t^{5} }{2s }$

Report an Error

Example Question #141 : Exponential Operations

Evaluate $7^{90}\div7^{16}$

Possible Answers:

$7^{35}$

7^5

$7^{25}$

$7^{74}$

$7^{18}$

Correct answer:

$7^{74}$

Explanation:

When dividing exponents with the same base, we just subtract the exponents and keep the base the same.

$7^{90}\div7^{16}=7^{90-16}=7^{74}$

Report an Error

Example Question #142 : Exponential Operations

Evaluate $9^8\div9^{-3}$

Possible Answers:

$9^{-24}$

$9^{11}$

9^6

9^5

$9^{-12}$

Correct answer:

$9^{11}$

Explanation:

When dividing exponents with the same base, we just subtract the exponents and keep the base the same.

$9^8\div9^{-3}=9^{8-(-3)}=9^{11}$

Report an Error

View SAT Mathematics Tutors

Nicholas
Certified Tutor

Fordham University, Bachelors, Business Administration and Management. Boston University, Master of Arts, Multimedia.

View SAT Mathematics Tutors

Alexandra
Certified Tutor

Georgia State University, Bachelor of Fine Arts, Studio Art (Photography).

View SAT Mathematics Tutors

Troy
Certified Tutor

Rice University, Bachelor in Arts, Kinesiology.

All SAT Math Resources

16 Diagnostic Tests 660 Practice Tests Question of the Day Flashcards Learn by Concept

SAT Math Tutors in Top Cities:

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

Popular Courses & Classes

ISEE Courses & Classes in Denver, ISEE Courses & Classes in Boston, LSAT Courses & Classes in San Francisco-Bay Area, LSAT Courses & Classes in Chicago, GRE Courses & Classes in San Francisco-Bay Area, ACT Courses & Classes in Houston, LSAT Courses & Classes in Boston, SAT Courses & Classes in Dallas Fort Worth, GRE Courses & Classes in Dallas Fort Worth, SSAT Courses & Classes in Chicago

Popular Test Prep

SAT Test Prep in Boston, SAT Test Prep in Denver, GMAT Test Prep in San Diego, MCAT Test Prep in Boston, GRE Test Prep in Dallas Fort Worth, ACT Test Prep in Houston, LSAT Test Prep in Boston, MCAT Test Prep in Chicago, MCAT Test Prep in Los Angeles, ISEE Test Prep in Denver

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

SAT Math : How to divide exponents

Study concepts, example questions & explanations for SAT Math

All SAT Math Resources

Example Questions

Example Question #541 : Algebra

Example Question #132 : Exponents

Example Question #543 : Algebra

Example Question #544 : Algebra

Example Question #545 : Algebra

Example Question #546 : Algebra

Example Question #542 : Algebra

Example Question #1 : New Sat Math No Calculator

Example Question #141 : Exponential Operations

Example Question #142 : Exponential Operations

All SAT Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: