Simplifying Exponents How do I know when it is simplified???  Only one of each base  Constants simplified  NO negative or zero exponents

It tells you how many times to multiply a base by itself.

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ActionRuleExample Multiply Two Powers ADD the exponents x 5 x 7 = x 12 Exponent Rules

What does this mean?

So let's take a closer look! = = =

Exponent Rules ActionRuleExample Multiply Two Powers ADD the exponents x 5 x 7 = x 12 Power to a power MULTIPLY the exponents (x 3 yz 4 ) 5 = x 15 y 5 z 20

Example #1

Exponent Rules ActionRuleExample Multiply Two Powers ADD the exponents x 5 x 7 = x 12 Raise power to a power MULTIPLY the exponents (x 3 yz 4 ) 5 = x 15 y 5 z 20 Divide Two Powers SUBTRACT the exponents

EXAMPLE #1

ActionRuleExample Zero Power=1x 0 = 1 x 3 y 0 =x 3

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QUESTION: What happens when a zero exponent is embedded in an exponent expression?

EXAMPLE

NEGATIVE EXPONENTS OK. TOO EASY FOR YOU. BUT CAN YOU HANDLE NEGATIVE EXPONENTS?

ActionRuleExample Zero Power=1x 0 = 1 x 3 y 0 =x 3 Negative Exponents Flip it

EXAMPLE