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Working with Powers Integer Exponents Exponent Rules

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Presentation on theme: "Working with Powers Integer Exponents Exponent Rules"— Presentation transcript:

1 Working with Powers Integer Exponents Exponent Rules
Order of Operations 11/30/2018

2 2 × 2 = 2 × 2 × 2 = 2 × 2 × 2 × 2 = How can we write these in shorter notation? 11/30/2018

3 Multiplication is a shortcut for repeated addition.
Exponents are a shortcut for repeated multiplication. = 5 × 3 3 × 3 × 3 × 3 × 3 = 11/30/2018

4 Write these numbers using exponential notation:
10,000 = 10? 27 = 3? 32 = 2? 11/30/2018

5 Integer Exponents 43 is called a power 43 = 4 x 4 x 4 = 64 Base 4
11/30/2018

6 You try these . . . 72 54 210 11/30/2018

7 Operations with Exponents
Multiply (x3)∙(x4) = (x ∙ x ∙ x) ∙ (x ∙ x ∙ x ∙ x) = (x ∙ x ∙ x ∙ x ∙ x ∙ x ∙ x) = x7 A5 ∙ A4 = Divide: 11/30/2018

8 Exponent Rules #1 n times 11/30/2018

9 Zero as an exponent 40 90 170 11/30/2018

10 Exponent Rules #2 11/30/2018

11 a0 = 1 M0 (pq)0 (2x2y)0 11/30/2018

12 Negative Exponents 3-1 7-1 5-2 2-4 (1/2) -1 (3/4) -2 11/30/2018

13 Exponent Rules #3 11/30/2018

14 M-2 x-5 (1/y)-3 11/30/2018

15 Combining Exponents aman=? 11/30/2018

16 Exponent Rules #4 11/30/2018

17 x5x4 b3b-6 (2x3)(4x-2) y-2y7 m6m-6 2z-3z5w-6w-2 11/30/2018

18 Combining Exponents am/an=? 11/30/2018

19 Exponent Rules #5 11/30/2018

20 11/30/2018

21 Combining Exponents (am)n=? 11/30/2018

22 Exponent Rules #6 11/30/2018

23 (w4)5 (p-3)4 (5x4)-2 (-3y-7)3 11/30/2018

24 Combining Exponents 11/30/2018

25 Exponent Rules #7 (distributive rule for exponents) 11/30/2018

26 11/30/2018

27 Exponent Rules 1. 2. 3. 11/30/2018

28 Exponent Rules 4. 5. 6. 7. 11/30/2018


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