### All PSAT Math Resources

## Example Questions

### Example Question #1 : How To Find An Exponent From A Rational Number

Which of the following lists the above quantities from least to greatest?

**Possible Answers:**

I, IV, III, II

IV, III, II, I

I, IV, II, III

II, III, I, IV

I, III, II, IV

**Correct answer:**

I, III, II, IV

Explanation:

### Example Question #631 : Algebra

Solve for .

**Possible Answers:**

**Correct answer:**

Explanation:

Since

Hence

### Example Question #1 : Exponential Ratios And Rational Numbers

Simplify:

**Possible Answers:**

**Correct answer:**

Explanation:

### Example Question #631 : Algebra

Solve for :

**Possible Answers:**

**Correct answer:**

Explanation:

From the equation one can see that

Hence must be equal to 25.

### Example Question #2 : How To Find An Exponent From A Rational Number

Evaluate:

**Possible Answers:**

**Correct answer:**

Explanation:

### Example Question #2 : Exponential Ratios And Rational Numbers

Solve for .

**Possible Answers:**

**Correct answer:**

Explanation:

### Example Question #1 : How To Find An Exponent From A Rational Number

and

Find

**Possible Answers:**

**Correct answer:**

Explanation:

Hence the correct answer is .

### Example Question #1 : Exponential Ratios And Rational Numbers

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 #1 : Exponents And Rational Numbers

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

27

12

36

40

**Correct answer:**

27

Explanation:

The answer is 3^{3} = 27

### Example Question #3 : Exponents And Rational Numbers

Solve for .

**Possible Answers:**

**Correct answer:**

Explanation:

Amirhossein

Certified Tutor

Certified Tutor

University of Tabriz, Bachelor of Science, Laser and Optical Engineering. Shahid Beheshti University, Master of Science, Opti...

Adam

Certified Tutor

Certified Tutor

University of Mary Washington, Bachelor in Arts, Cultural Anthropology. George Mason University, Masters in Education, Educat...

### 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