To move onto study rational exponents (yes, exponents can be fractional, I'm excited too!), it's important that we summarize what we know about basic exponent rules.
Vocab to understand:
base
exponent
Here's a couple resources that give some full description of exponent properties.
Exponent Rules (Wolfram Math World)
Videos
Basic Exponent Rules (AoPS)
Zero as an Exponent (AoPS)
Negative Exponents (AoPS)
More on Negative Exponents (AoPS)
Exponent Rules with One Variable (AoPS)
Using Exponent Rules with Negative Exponents (AoPS)
Quotients of Powers (AoPS)
Exponent Rules with Multiple Variables (AoPS)
Basic Exponent Properties (JMT)
Applying Exponent Rules Example 1 (JMT)
Applying Exponent Rules Example 2 (JMT)
Applying Exponent Rules Example 3 (JMT)
Simplifying Expressions with Negative Exponents (JMT)