### All PSAT Math Resources

## Example Questions

### Example Question #8 : How To Find An Exponent From A Rational Number

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

**Possible Answers:**

IV, III, II, I

II, III, I, IV

I, IV, III, II

I, IV, II, III

I, III, II, IV

**Correct answer:**

I, III, II, IV

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

Solve for .

**Possible Answers:**

**Correct answer:**

Since

Hence

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

Simplify:

**Possible Answers:**

**Correct answer:**

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

Solve for :

**Possible Answers:**

**Correct answer:**

From the equation one can see that

Hence must be equal to 25.

### Example Question #4 : How To Find An Exponent From A Rational Number

Evaluate:

**Possible Answers:**

**Correct answer:**

### Example Question #3 : How To Find An Exponent From A Rational Number

Solve for .

**Possible Answers:**

**Correct answer:**

### Example Question #4 : How To Find An Exponent From A Rational Number

and

Find

**Possible Answers:**

**Correct answer:**

Hence the correct answer is .

### Example Question #7 : How To Find An Exponent From A Rational Number

Solve for .

**Possible Answers:**

**Correct answer:**

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 #8 : 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:**

36

12

27

40

125

**Correct answer:**

27

The answer is 3^{3} = 27

### Example Question #7 : How To Find An Exponent From A Rational Number

Solve for .

**Possible Answers:**

**Correct answer:**

### All PSAT Math Resources

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