WELCOME BACK Y’ALL Chapter 6: Polynomials and Polynomial Functions

Recall A is called the _____________ x is called the _____________ The operation involved is ___________

6.1: Using Properties of Exponents Properties of Exponents: 1. Product of powers 2. Power of a power 3. power of a product 4. negative exponent 5. zero exponent 6. quotient of powers 7. power of a quotient

When you multiply same bases, you add exponents!!!!

Zero exponent: Evaluate: ANYTHING TO THE ZERO POWER IS ONE!!!!!!

Negative exponents:

EXAMPLES:

Evaluating Exponential Expressions:

SIMPLIFYING EXPONENTIAL EXPRESSIONS: ***Basically, when we simplify, we make sure that our final answer has NO negative exponents in it! What are my negative exponents??? Yes, the x and the y bases so those are the ONLY one’s that I will move to the denominator! So, both are negative so the c goes down to the denominator and the d goes up to the numerator!

YOU TRY!

Simplify each expression completely.

Rewrite the expression with positive exponents.

Example 6

Simplify the expression, only using positive exponents:

Division Properties of Exponents ** *Quotient of Powers: To divide powers that have the same base, you subtract the exponents. This is called the quotient of powers property. EXAMPLES:

YOU TRY!!!

***Power of a Quotient: Remember, that when you have a base to a power raised to a power, that you multiply exponents! EXAMPLES: Remember, that you only SUBTRACT exponents, the bases HAVE TO BE THE SAME!!!! SO, that’s why we just multiply 2 by itself and 3 by itself

Simplify Expressions using Multiple Properties: YOU TRY:

Simplify Expressions with Negative Exponents:

Simplify each expression completely.

Quotient of Powers Simplify top 1 st.

Simplify with multiple properties