# Ch 7: CAHSEE - Problems with Exponents: Tutoring Solution

### About This Chapter

## How it works:

- Begin your CAHSEE math exam prep.
- Identify the exponent concepts that you're stuck on.
- Find fun videos on the topics you need to understand.
- Press play, watch and learn!
- Complete the quizzes to test your understanding.
- As needed, submit a question to one of our instructors for personalized support.

## Who's it for?

This chapter of our CAHSEE Tutoring Solution will benefit any student who is trying to learn about exponents and earn passing scores. This resource can help students including those who:

- Struggle with understanding exponential properties, power of powers, scientific notation or any other exponents topic
- Have limited time for studying
- Want a cost effective way to supplement their math learning
- Prefer learning about math visually
- Find themselves struggling to prepare for the CAHSEE math exam
- Cope with ADD or ADHD
- Want to get ahead in high school math
- Don't have access to CAHSEE math exam prep materials

## Why it works:

**Engaging Tutors:**We make learning about exponents simple and fun.**Cost Efficient:**For less than 20% of the cost of a private tutor, you'll have unlimited access 24/7.**Consistent High Quality:**Unlike a live math tutor, these video lessons are thoroughly reviewed.**Convenient:**Imagine a tutor as portable as your laptop, tablet or smartphone. Learn about exponents on the go!**Learn at Your Pace:**You can pause and rewatch lessons as often as you'd like, until you master the material.

## Learning Objectives

- Become familiar with scientific notation.
- List the five main exponent properties.
- Define zero and negative exponents.
- Simplify expressions with exponents.
- Learn how to work with rational exponents.
- Understand how to simplify expressions with rational exponents.
- Be able to raise powers to a power.

### 1. Scientific Notation: Definition and Examples

Scientific notation is a special way of writing numbers so they are easier to work with. This lesson will define scientific notations and show some examples of how to convert numbers from standard notation to scientific notation and back.

### 2. What Are the Five Main Exponent Properties?

We'll look at the five important exponent properties and an example of each. You can think of them as the order of operations for exponents. Learn how to handle math problems with exponents here!

### 3. How to Define a Zero and Negative Exponent

The zero and negative exponent properties are two you will use quite a lot in mathematics. The negative exponent property can be confusing, but when you remember a couple fun ideas, you will get it right every time!

### 4. How to Simplify Expressions with Exponents

In this video, we will put all of the exponent properties we have learned together. Don't let lots of numbers and letters confuse you! Simplifying exponents can be easy and fun!

### 5. Rational Exponents

In this video, learn how to go from a rational exponent to a radical expression and back. No tricks or magic, just good math! We'll review the basics and look at a few examples.

### 6. Simplifying Expressions with Rational Exponents

Simplifying expressions with rational exponents is so easy. In fact, you already know how to do it! We simply use the exponent properties but with fractions as the exponent!

### 7. Power of Powers: Simplifying Exponential Expressions

Mathematics is a very logical science. There is a rule for everything and not many exceptions to those rules. Working with exponents is no different. This lesson will describe the rule for raising a power to a power and also will give some examples in how to solve them.

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### Other Chapters

Other chapters within the CAHSEE Math Exam: Tutoring Solution course

- CAHSEE - Number Theory & Basic Arithmetic: Tutoring Solution
- CAHSEE - Problems with Decimals and Fractions: Tutoring Solution
- CAHSEE - Problems with Percents: Tutoring Solution
- CAHSEE - Problems with Radical Expressions & Equations: Tutoring Solution
- CAHSEE - Problems with Algebraic Expressions and Equations: Tutoring Solution
- CAHSEE - Algebraic Linear Equations & Inequalities: Tutoring Solution
- CAHSEE - Overview of Functions: Tutoring Solution
- CAHSEE - Rational Expressions: Tutoring Solution
- CAHSEE - Calculations with Ratios, Percent & Proportions: Tutoring Solution
- CAHSEE - Matrices and Absolute Value: Tutoring Solution
- CAHSEE - Quadratics & Polynomials: Tutoring Solution
- CAHSEE - Geometry: Graphing Basics: Tutoring Solution
- CAHSEE - Graphing on the Coordinate Plane: Tutoring Solution
- CAHSEE - Measurement in Math: Tutoring Solution
- CAHSEE - Properties of Shapes: Tutoring Solution
- CAHSEE - Triangles, the Pythagorean Theorem & Congruency: Tutoring Solution
- CAHSEE - Perimeter, Area & Volume in Geometry: Tutoring Solution
- CAHSEE - Statistics, Probability & Working with Data: Tutoring Solution
- CAHSEE - Mathematical Reasoning: Tutoring Solution
- CAHSEE - Logic: Tutoring Solution