All PSAT Math Resources
Example Questions
Example Question #2 : Exponential Ratios And Rational Numbers
Which of the following lists the above quantities from least to greatest?
Possible Answers:
I, IV, II, III
I, IV, III, II
I, III, II, IV
IV, III, II, I
II, III, I, IV
Correct answer:
I, III, II, IV
Explanation:
Example Question #3 : Exponential Ratios And Rational Numbers
Solve for .
Possible Answers:
Correct answer:
Explanation:
Since
Hence
Example Question #1 : How To Find An Exponent From A Rational Number
Simplify:
Possible Answers:
Correct answer:
Explanation:
Example Question #5 : Exponential Ratios And Rational Numbers
Solve for :
Possible Answers:
Correct answer:
Explanation:
From the equation one can see that
Hence must be equal to 25.
Example Question #6 : Exponential Ratios And Rational Numbers
Evaluate:
Possible Answers:
Correct answer:
Explanation:
Example Question #2 : How To Find An Exponent From A Rational Number
Solve for .
Possible Answers:
Correct answer:
Explanation:
Example Question #3 : How To Find An Exponent From A Rational Number
and
Find
Possible Answers:
Correct answer:
Explanation:
Hence the correct answer is .
Example Question #4 : How To Find An Exponent From A Rational Number
Solve for .
Possible Answers:
Correct answer:
Explanation:
Use the rules of logarithms to combine terms.
Hence,
By fatoring we get
Hence .
However, you cannot take the logarithm of a negative number. Thus, the only value for is .
Example Question #3 : How To Find An Exponent From A Rational Number
If a piece of pie is cut into 3 sections, and each of those pieces is further cut into three sections, then those pieces are cut into three sections, how many (tiny) pieces of pie are there?
Possible Answers:
125
12
36
27
40
Correct answer:
27
Explanation:
The answer is 33 = 27
Example Question #4 : Exponents And Rational Numbers
Solve for .
Possible Answers:
Correct answer:
Explanation:
All PSAT Math Resources
Popular Subjects
MCAT Tutors in Boston, Math Tutors in San Diego, Physics Tutors in Philadelphia, French Tutors in Phoenix, Computer Science Tutors in Philadelphia, MCAT Tutors in Houston, French Tutors in Miami, GRE Tutors in New York City, Statistics Tutors in Los Angeles, GRE Tutors in Phoenix
Popular Courses & Classes
ACT Courses & Classes in Philadelphia, ISEE Courses & Classes in Denver, LSAT Courses & Classes in Miami, MCAT Courses & Classes in San Diego, SAT Courses & Classes in Los Angeles, SSAT Courses & Classes in Miami, SSAT Courses & Classes in Seattle, GMAT Courses & Classes in Philadelphia, SAT Courses & Classes in Miami, GMAT Courses & Classes in Miami
Popular Test Prep
GMAT Test Prep in Philadelphia, ACT Test Prep in Seattle, SSAT Test Prep in Denver, MCAT Test Prep in Los Angeles, ACT Test Prep in Houston, ISEE Test Prep in Phoenix, ISEE Test Prep in New York City, SSAT Test Prep in Los Angeles, GRE Test Prep in Miami, MCAT Test Prep in San Francisco-Bay Area