Copy and complete the table in your notes

Copy and complete the table in your notes. 2 x 10 x 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. 1. 50 2. (-2)0 3. (. 45)0 4. (1/7)0 5. (1239)0 What can you conclude? 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