1. Working with Powers Integer Exponents Exponent Rules
Order of Operations
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2. 2 × 2 =
2 × 2 × 2 =
2 × 2 × 2 × 2 =
How can we write these in shorter notation?
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3. Multiplication is a shortcut for repeated addition.
Exponents are a shortcut for repeated multiplication.
= 5 × 3
3 × 3 × 3 × 3 × 3 =
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4. Write these numbers using exponential notation:
10,000 = 10?
27 = 3?
32 = 2?
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5. Integer Exponents 43 is called a power 43 = 4 x 4 x 4 = 64 Base 4
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6. You try these . . . 72 54
210
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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:
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8. Exponent Rules #1
n times
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9. Zero as an exponent 40 90
170
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10. Exponent Rules #2
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11. a0 = 1 M0
(pq)0
(2x2y)0
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12. Negative Exponents
3-1
7-1
5-2
2-4
(1/2) -1
(3/4) -2
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13. Exponent Rules #3
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14. M-2
x-5
(1/y)-3
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15. Combining Exponents
aman=?
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16. Exponent Rules #4
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17. x5x4
b3b-6
(2x3)(4x-2)
y-2y7
m6m-6
2z-3z5w-6w-2
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18. Combining Exponents
am/an=?
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19. Exponent Rules #5
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20. 11/30/2018

21. Combining Exponents
(am)n=?
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22. Exponent Rules #6
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23. (w4)5
(p-3)4
(5x4)-2
(-3y-7)3
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24. Combining Exponents
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25. Exponent Rules
#7 (distributive rule for exponents)
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27. Exponent Rules 1. 2. 3.
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28. Exponent Rules 4. 5. 6. 7.
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