2.2 product laws of exponents. 2.2 objectives o to model behavior of exponents using function...

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2.2 Product Laws of Exponents

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Page 1: 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

2.2 Product Laws of Exponents

Page 2: 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

2.2 ObjectivesO To model behavior of exponents

using function machinesO To understand and apply the product

laws of exponents

Page 3: 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

Page 4: 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

Working with Exponents

O Input – 3

O Apply the machine x2 four times or 24

Page 5: 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

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.

20 is equal to 1, any number/variable to the zero

power is equal to 1.

Page 6: 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

Product Law of Exponents

Same Base, ADD the exponents when

multiplying.

or

Page 7: 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

Product Law of Exponents

Same Exponent, multiply the bases and keep the exponent the

same.

or

Page 8: 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

The End of 2.2