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Zero and Negative Exponents

Zero and Negative Exponents. Algebra 1 Section 8-1. Wal * math. Investigation pg 394. Replace each blank with the value of the power in simplest form. Pattern. What pattern do you notice as you go down each column? In the first column each term is ½ the previous term.

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Zero and Negative Exponents

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  1. Zero and Negative Exponents Algebra 1 Section 8-1

  2. Wal*math

  3. Investigation pg 394 Replace each blank with the value of the power in simplest form.

  4. Pattern • What pattern do you notice as you go down each column? • In the first column each term is ½ the previous term. • In the second column, each term is 1/5 the pervious column • In the third column, each term is 1/10 the pervious column

  5. Continue the pattern • Use the previous pattern to complete the table

  6. Critical Thinking • What pattern do you notice in the row with 0 as an exponent ? All values are 1 Copy and Complete each expression 2-1 = 1 2-2 = 1 2-3 = 1 2? 2? 2?

  7. PROPERTY: Zero as an exponent • For every nonzero number a, a0 = 1 • Examples 50 = 1 (-2)0 = 1 (1.02)0 = 1 (1/3)0 = 1

  8. PROPERTY: Negative Exponent • For every nonzero number a and integer n, a-n= 1 an Examples: 6-4 = 1 (-8)-1 = 1 64 (-8)1

  9. Simplifying a Power • Simplify • 4-3 = (1.23)0 = • 3-4 = (-7)0 = • (-4) -3 = 7-1 = • -3-2 =

  10. Simplifying an Exponential Expression • 4yx-3 • 1/w-4

  11. Population Growth • A biologist is studying the growth of a particular insect. In the lab, the population doubles every week. The expression of • 1000 *2w models an initial population of 100 insects after w weeks of growth. • Evaluate the expression for w=0. Describe what the value of the expression represents in this situation.

  12. Evaluate the expression for w = -3. Then describe what the value of the expression represents in this situation • 125. There were 125 insects 3 weeks before the present population of 1000 insects.

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