# Pre-Algebra : Power Rule of Exponents

## Example Questions

### Example Question #21 : Power Rule Of Exponents

Simplify:

Explanation:

To simplify this, first convert the second term to a negative exponent.

Since similar bases are multiplied, their powers can be added.

### Example Question #22 : Power Rule Of Exponents

Solve:

Explanation:

Solve by eliminating the parentheses first. When powers of the same base are multiplied, the powers can be added.

Combine like-terms.

### Example Question #21 : Power Rule Of Exponents

Solve:

Explanation:

Solve the parentheses first.

Simplify the third and fourth terms.

Combine or add the two terms.

### Example Question #24 : Power Rule Of Exponents

Solve:

Explanation:

Simplify the numerator first.

When dividing similar bases, their powers can be subtracted.

### Example Question #22 : Power Rule Of Exponents

Solve:

Explanation:

When similar bases are multiplied, their powers can be added together.

The next step is to eliminate the negative exponent.

Remember that a value to a negative power is one over that value to its positive power.  Write the following rule:

Apply this rule for .

Multiply the whole number with the numerator.

### Example Question #23 : Power Rule Of Exponents

Solve the following expression:

Explanation:

Since every base of a certain power is all multiplied, the powers of the similar bases can be added.

Reorganize the terms.

Simplify the bases.

### Example Question #24 : Power Rule Of Exponents

How do I make the following equation have a positive exponent?

Explanation:

When solving a negative exponent question simply do the reciprocal of the fraction and change the sign of the exponent.

is really .

Recipricol means flip, so;

Then change the sign of the exponent.

### Example Question #25 : Power Rule Of Exponents

Simplify:

Explanation:

When solving a division exponent question if the base is the same take it to the answer and then subtract the exponents.

In this case the bases are different so you must divide the bases then subtract the exponents.

Divide the bases:

Subtract the exponents:

### Example Question #29 : Power Rule Of Exponents

Find the solution to the equation.

Explanation:

When an exponent question is in this product form we need to multiply the exponents together.

### Example Question #26 : Power Rule Of Exponents

Solve the following