### All GRE Math Resources

## Example Questions

### Example Question #31 : Algebra

**Quantitative Comparison:** Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given.

**Quantity A Quantity B**

4^{3 }3^{4}

**Possible Answers:**

The two quantities are equal.

Quantity A is greater.

The answer cannot be determined from the information given.

Quantity B is greater.

**Correct answer:**

Quantity B is greater.

In order to determine the relationship between the quantities, solve each quantity.

4^{3 }is 4 * 4 * 4 = 64

3^{4} is 3 * 3 * 3 * 3 = 81

Therefore, Quantity B is greater.

### Example Question #11 : Exponents And Rational Numbers

Quantity A:

Quantity B:

**Possible Answers:**

Quantity A is greater.

Quantity B is greater.

The two quantities are equal.

The relationship cannot be determined from the information given.

**Correct answer:**

Quantity B is greater.

(–1) ^{137}= –1

–1 < 0

(–1) ^{odd #} always equals –1.

(–1) ^{even #} always equals +1.

### Example Question #32 : Algebra

**Possible Answers:**

**Correct answer:**

Anything raised to negative power means over the base raised to the postive exponent.

### Example Question #11 : Exponents And Rational Numbers

Evaluate.

**Possible Answers:**

**Correct answer:**

Let's factor a .

We have .

Final answer is just .

### Example Question #41 : Algebra

Which of the following is not the same as the others?

**Possible Answers:**

**Correct answer:**

Let's all convert the bases to .

This one may be intimidating but .

Therefore,

is not like the answers so this is the correct answer.

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