8.1 Laws of Exponents Whenever we have variables which contain exponents and have equal bases, we can do certain mathematical operations to them. Those.

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Laws of Exponents Whenever we have variables which contain exponents and have equal bases, we can do certain mathematical operations to them. Those operations.

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Presentation transcript:

8.1 Laws of Exponents Whenever we have variables which contain exponents and have equal bases, we can do certain mathematical operations to them. Those operations are called the “Laws of Exponents” b x b = basex = exponent

Laws of Exponents It is very important that you not just memorize laws of exponents. You MUST understand how they were discovered and why they work. Let’s begin...

Example 1

First Law of Exponents – Product of Powers - “When you multiply the same base, you keep the base and ADD the exponents.”

Example 2

Second Law of Exponents – Power of a Power - “To find a power to a power, keep the base, and MULTIPLY the exponents.”

Let’s try some... and show work!!!

Let’s check...

REMINDER... Don’t let yourself be tricked by this one!!!

Example 3

Third Law of Exponents – Power of a Product - “To find a power of a product, find the power of each factor and multiply.

Let’s try some... and show work!!!

Let’s check...

Classwork... Textbook page 453, #27-61 (odds)

Laws of Exponents

Other Properties of Exponents Any single number or variable is always to the first power

Basic Examples

More Examples

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