2.2 Product Laws of Exponents. 2.2 Objectives O To model behavior of exponents using function machines O To understand and apply the product laws of exponents.

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Presentation transcript:

2.2 Product Laws of Exponents

2.2 Objectives O To model behavior of exponents using function machines O To understand and apply the product laws of exponents

Terms base Exponent or Power

Working with Exponents O Input – 3 O Apply the machine x2 four times or 2 4

What if the machine were applied zero times? Since the machine is applied zero times, that means the output is the same as the input. 2 0 is equal to 1, any number/variable to the zero power is equal to 1.

Product Law of Exponents Same Base, ADD the exponents when multiplying. or

Product Law of Exponents Same Exponent, multiply the bases and keep the exponent the same. or

The End of 2.2