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Exponents

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6³ Exponent Base

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6³ is read “Six Cubed” 6³ = 6 x 6 x 6 6³ = 216

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**Any base to the zero power, equals one.**

Example: Any base to the first power, equals itself. 50 = 1 20 = 1 41 = 4 71 = 7

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**Evaluate Exponents Evaluating Exponents: means to find the VALUE of.**

Example: 3² = -9º = (-3)³ =

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**Evaluate the following:**

= = = = 1 125 -9 3 100 64 1 16 -1 -7

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**Properties of Exponents**

Complete the table in your notes and look for a pattern

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Rule 1: When multiplying two numbers with the same base, keep base and add the exponents. 3³ x 3² . x 3 x 3 x 3 x 3 x 3 3 x 3 x 3 3 x 3

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**Properties of Exponents**

Complete the table in your notes and look for a pattern

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Rule 2: When dividing two numbers with the same base, keep base and subtract the exponents.

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**Rule 3 (3²) x (3²) x (3²) (3 x 3) x (3 x 3) x (3 x 3)**

When raising a number with an exponent to a power, multiply the exponents. (3²)³ (3²) x (3²) x (3²) (3 x 3) x (3 x 3) x (3 x 3) 3 x 3 x 3 x 3 x 3 x 3

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**Negative Exponents Negative Exponents are NOT negative numbers**

Negative Exponents are greater than 0, but less than one Negative Exponents can be written as fractions and decimals

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**Using Positive Exponents**

Expression Using Positive Exponents Value 102 100 101 10 1 10-1 1 . 0.1 10-2 0.01 10-3 103 0.001

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Example = = =

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Simplify

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