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Published byNathan Kelly Modified over 6 years ago

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

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

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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

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

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

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Negative exponents:

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EXAMPLES:

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Evaluating Exponential Expressions:

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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!

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YOU TRY!

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Simplify each expression completely.

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Rewrite the expression with positive exponents.

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Example 6

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Simplify the expression, only using positive exponents:

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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:

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YOU TRY!!!

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***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

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Simplify Expressions using Multiple Properties: YOU TRY:

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Simplify Expressions with Negative Exponents:

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Simplify each expression completely.

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Quotient of Powers Simplify top 1 st.

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Simplify with multiple properties

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