# High School Math : Distributing Exponents

## Example Questions

### Example Question #1 : Simplifying Exponents Solve for .      Explanation:

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

### Example Question #1 : Simplifying Exponents

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

20

10

8

5

16

16

Explanation: . Thus, is equal to 16.

### Example Question #1 : Simplifying Exponents

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 : Simplifying Exponents

Simplify the expression:    Cannot be simplified  Explanation:

Begin by distributing the exponent through the parentheses. The power rule dictates that an exponent raised to another exponent means that the two exponents are multiplied: Any negative exponents can be converted to positive exponents in the denominator of a fraction: The like terms can be simplified by subtracting the power of the denominator from the power of the numerator:  ### All High School Math Resources 