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Algebra 2 C.C. 1.1Apply Laws of Exponents
A pet store raises mice for sale. The owner starts with 2 mice. The mice will reproduce in a manner so that the total population of the mice doubles every month. Complete the table below showing the total number of mice.
Month number
Total population
1 2
2
3
4
5
6
7
How many mice will there be after 15 months?
Definition of Powersbx = b b b b b ∙ ∙ ∙ ∙ ∙
b … x factors of bb is the base x is the exponent
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Write without exponents.
73
58
(-3)4
-34
Explain the difference between the expressions: (-4)x and -4x
When will the expressions (-4)x and -4x be equal?
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Laws of exponents
1. ∙ ∙ = 2. =
3. (ab)x = ax bx
4. = 5. = 6. b-x = ; b≠0 7. b0 = 1 ; b≠0
(5a3)(4a2)
(2x)5
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Simplify
(6x2y3)(2x5y4) 70 7∙ -3
(72)-1
Explain why 0-3 is undefined.
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Simplify
(2a2b3)3
4a4b7
5w3y-4
w-2y2
Explain why 00 is undefined.
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Page 325 example 3
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Scientific Notation is a short cut method foe writing very large or small numbers.
Scientific Notation takes the form:
C x 10n
where 1 ≤ C < 10 andn is an integer
Write in scientific notation.3,500,000,000
45,000
.000 000 0576
.007
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Write in standard notation
4.1 x 105
6 x 10-3
Use a calculator to simplify.(5 x 104)(6 x 107)
1.4 x 1018
7 x 10-4
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assignment
Page 326Problems 16-56 even, 60,62,70,83