Copy and complete the table in your notes.

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Copy and complete the table in your notes. 2x 10x 24= _____ 104=_____ 23= _____ 103=_____ 22= _____ 102=_____ 21=_____ 101=_____ 20=_____ 100=_____ 2-1=_____ 10-1=_____ 2-2=_____ 10-2=_____ What pattern do you notice when you decrease an exponent by 1? What do you think the value of 5-2 is? Explain your reasoning

Zero and Negative Exponents Section 7.1

Use your calculator to evaluate. What can you conclude? 50 (-2)0 (.45)0 (1/7)0 (1239)0 A nonzero number to the zero power ALWAYS equals one.

Exponent Property of Zero Any nonzero number or variable raised to the zero power is equal to 1. Examples

Properties of Negative Exponents Negative exponents move the exponent to the other part of the fraction – reciprocal. So, if my exponent is… In the numerator, flips to the denominator. In the denominator, flips to the numerator. Examples:

Example 1 -9 is upstairs. We will flip it…

Uncover the Riddle…

Simplifying Exponential Expressions Simplest form means: ONLY POSITIVE EXPONENTS (no negative exponents)

Example 2 4 is upstairs. We will flip it down…

Example 3: Evaluate 4 is downstairs. We will flip it up…

Example 4 x is downstairs. We will flip it up…

Example 5: 4 is downstairs. We will flip it down…

Evaluating Expressions Simplify first Put in Numbers

Evaluate, given n=-2 and w=5