Learning Objectives:

__Exponents and Simplifying Expressions with Exponents__

**Exponential notation **or** exponential form** is commonly found in algebraic terms, expressions and equations. **Exponents** are used to shorten or condense repeated multiplication. Here is an example, **3 x 3 x 3 x 3 x 3 = 3 to the power of 5**, i.e.**3 ^{5}** the term

** Product rules: a ᵑ · b ᵑ = (a · b) ᵑ **

**Quotient rules: a ᵑ / a ᵐ = a ᵑ¯ᵐ, a ᵑ / b ᵑ = (a / b) ᵑ **

**Power rules: (bᵑ)ᵐ = bᵑ¯ᵐ**

**Other properties:a¹ = a , a° = 1**

**Hook Questions**

*1. **What is the product property of exponents?*

*2. **Why do you subtract the exponents when dividing powers of the same base?*

*3. **What is a number to a negative power?*

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