Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
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. 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 n0 1 (3)0 1 5.150 1 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: 7 3 1 3 7 1 3 3 33 Example 1 -9 is upstairs. We will flip it… 1 2 9 92 1 81 Uncover the Riddle… Simplifying Exponential Expressions • Simplest form means: ONLY POSITIVE EXPONENTS (no negative exponents) Example 2 3 2 5a b 3 5a 2 b 4 is upstairs. We will flip it down… Example 3: Evaluate 16 y y 4 y 2 4 x x x 2 4 is downstairs. We will flip it up… Example 4 x is downstairs. We will flip it up… 3 3x 4 3x 4 x 1 4 Example 5: 3 4c b 4b 3 c 4 is downstairs. We will flip it down… Evaluating Expressions 3 2 Simplify first 3 2 3s t Put in Numbers 3s t 3 3s 2 t 3 3s 2 t 3 3(2) 2 ( 3) 3 8 24 8 9 9 3 Evaluate, given n=-2 and w=5 4 n w 0 1 n 2 w