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Published byCarter Cantrell Modified over 4 years ago

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**Basic Definitions a 3 a x a x a a as factor 3 times exponent power**

base a x a x a a as factor 3 times Power – is a product with repeated factor. Exponent – tells us how many times the base used as a factor

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**Examples Power Repeated multiplication Description words 3 x 3 x 3 3**

3 to the third power 2 7 to the second power 7 7 x 7 6 X x X x X x X x X x X X to the sixth power x

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**Common Mistake 7 = 7 x 2 = 14 7 = 7 x 2 = 14 7 = 7 x 7 = 49**

The right answer 2 7 = 7 x 7 = 49

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**Order of Operations Evaluate expressions inside grouping symbols ( )**

Evaluate powers Multiply and divide from left to right Add and subtract from left to right

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**Lets Practice (6-4) + 5 - 3 5 x 5 x 5 x 5 12 + (4+2) - 24 10 x 10 x 10**

7 8 9 10 2 12 + (4+2) - 24 10 x 10 x 10 1 Y x Y 500 / (12-7) 4 8 5 1 3 2 2 13

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EXAMPLE 2 Evaluate exponential expressions a. 6 – 4 6 4 Product of a power property = 6 0 Add exponents. = 1 Definition of zero exponent = 6 – 4 + 4.

EXAMPLE 2 Evaluate exponential expressions a. 6 – 4 6 4 Product of a power property = 6 0 Add exponents. = 1 Definition of zero exponent = 6 – 4 + 4.

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