# 6.6: Exponential Expressions

**Advanced**Created by: CK-12

**Practice**Evaluating Exponential Expressions

Can you simplify the following expression so that it has only positive exponents?

### Watch This

James Sousa: Simplify Exponential Expressions

### Guidance

The following table summarizes all of the rules for exponents.

**
Laws of Exponents
**

If and , then

#### Example A

Evaluate .

**
Solution:
**
First, rewrite with a positive exponent:

.

Next, evaluate the fractional exponent:

#### Example B

Simplify .

**
Solution:
**

#### Example C

Simplify .

**
Solution:
**

#### Concept Problem Revisited

### Guided Practice

Use the laws of exponents to simplify each of the following:

1.

2.

3.

**
Answers:
**

1.

2.

3.

### Explore More

Simplify each expression.

Express each of the following as a power of 3. Do not evaluate.

Apply the laws of exponents to evaluate each of the following without using a calculator.

Use the laws of exponents to simplify each of the following.

Simplify each of the following using the laws of exponents.

### Image Attributions

## Description

## Learning Objectives

Here you'll learn how to use all of the laws of exponents to simplify and evaluate exponential expressions.

## Related Materials

## Difficulty Level:

Advanced## Tags:

## Subjects:

## Concept Nodes:

## Date Created:

Apr 30, 2013## Last Modified:

Feb 26, 2015## Vocabulary

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