# High School Math : Distributing Exponents

## Example Questions

### Example Question #2 : Simplifying Exponents

Solve for .

Explanation:

First, set up the equation: . Simplifying this result gives .

### Example Question #1 : Distributing Exponents (Power Rule)

What is the largest positive integer, , such that  is a factor of ?

16

5

8

10

20

16

Explanation:

. Thus,  is equal to 16.

### Example Question #1 : Distributing Exponents (Power Rule)

Order the following from least to greatest:

Explanation:

In order to solve this problem, each of the answer choices needs to be simplified.

Instead of simplifying completely, make all terms into a form such that they have 100 as the exponent.  Then they can be easily compared.

, , and .

Thus, ordering from least to greatest: .

### Example Question #1 : Distributing Exponents (Power Rule)

Simplify the expression:

Cannot be simplified