3­5­14 ­ 8.6 ­ Multiplication Properties of Exponents
March 05, 2014
Tuesday, March 4, 2014
I can multiply powers with the same base
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3­5­14 ­ 8.6 ­ Multiplication Properties of Exponents
March 05, 2014
Write using positive exponents
a5b­4
x
y­21
­4
1
a5b­4
x­4
y3
s­4f­5
w­2dg­3
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3­5­14 ­ 8.6 ­ Multiplication Properties of Exponents
March 05, 2014
Numbers and Exponents
Arithmetically
Base
3
Algebraically
2
x
Exponent
Base
a
Exponent
What is the exponent on say... 5 ?
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3­5­14 ­ 8.6 ­ Multiplication Properties of Exponents
March 05, 2014
Vocabulary
Multiplying Powers With the Same Base ­ To multiply numbers or variables with the same base, _______ the exponents.
Arithmetically Algebraic
32 x 37 = 3(2 + 7) = 39 am x an = a(m + n)
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3­5­14 ­ 8.6 ­ Multiplication Properties of Exponents
March 05, 2014
Why do we add?
(3)2 x (3)4 5
3­5­14 ­ 8.6 ­ Multiplication Properties of Exponents
March 05, 2014
Write the expression (­3)2 x (­3)4 using a single exponent.
Write the expression (­a)2 x (­a)4 using a single exponent.
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3­5­14 ­ 8.6 ­ Multiplication Properties of Exponents
March 05, 2014
Write the expression (4)7 x (4)3 using a single exponent.
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3­5­14 ­ 8.6 ­ Multiplication Properties of Exponents
March 05, 2014
A square has a side length of x3, find the area of the square.
x3
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3­5­14 ­ 8.6 ­ Multiplication Properties of Exponents
March 05, 2014
Write in simplest form
(a2b3)(a6)
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3­5­14 ­ 8.6 ­ Multiplication Properties of Exponents
March 05, 2014
Write in simplest form (using positive exponents)
5
c*c­4
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3­5­14 ­ 8.6 ­ Multiplication Properties of Exponents
March 05, 2014
Write in simplest form (using positive exponents)
1
a3*a­2
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3­5­14 ­ 8.6 ­ Multiplication Properties of Exponents
March 05, 2014
Write in simplest form (using positive exponents)
2a2(3a + 5)
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3­5­14 ­ 8.6 ­ Multiplication Properties of Exponents
March 05, 2014
Write in simplest form (using positive exponents)
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3­5­14 ­ 8.6 ­ Multiplication Properties of Exponents
March 05, 2014
Write in simplest form (using positive exponents)
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3­5­14 ­ 8.6 ­ Multiplication Properties of Exponents
March 05, 2014
Write in simplest form (using positive exponents)
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3­5­14 ­ 8.6 ­ Multiplication Properties of Exponents
March 05, 2014
Write in simplest form (using positive exponents)
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3­5­14 ­ 8.6 ­ Multiplication Properties of Exponents
March 05, 2014
Multiplying Numbers in Scientific Notation
Find the product of (5 x 106)(9 x 103)
(5 x 106)(9 x 103) = (5 * 9) x (106 * 103)
= (45) x (106 * 103)
= (45) x (106 + 3)
= 45 x 109
Am I Done?
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3­5­14 ­ 8.6 ­ Multiplication Properties of Exponents
March 05, 2014
Homework Page 393­394
2­32 Even
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3­5­14 ­ 8.6 ­ Multiplication Properties of Exponents
March 05, 2014
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