# High School Math : Multiplying and Dividing Exponents

## Example Questions

### Example Question #91 : Algebra Ii

Simplify the following expression.      Explanation:

When dividing with exponents, the exponent in the denominator is subtracted from the exponent in the numerator. For example: .

In our problem, each term can be treated in this manner. Remember that a negative exponent can be moved to the denominator. Now, simplifly the numerals. ### Example Question #1 : Simplifying Exponents

Simplify the following expression.       Explanation:

We are given: Recall that when we are multiplying exponents with the same base, we keep the base the same and add the exponents.

Thus, we have .

### Example Question #1 : Multiplying And Dividing Exponents

Simplify the following expression.       Explanation:

Recall that when we are dividing exponents with the same base, we keep the base the same and subtract the exponents.

Thus, we have .

We also recall that for negative exponents, .

Thus, .

### Example Question #1 : Simplifying Exponents

Simplify the following exponent expression:       Explanation:

Begin by rearranging the terms in the numerator and denominator so that the exponents are positive:   Multiply the exponents: Simplify: ### Example Question #5 : Exponents

Simplify the expression:       Explanation:

First simplify the second term, and then combine the two:  ### Example Question #1 : Simplifying Exponents

Solve for     Cannot be determined from the given information.  Explanation:

Rewrite each side of the equation to only use a base 2:  The only way this equation can be true is if the exponents are equal.

So: The on each side cancel, and moving the to the left side, we get: ### All High School Math Resources 