4.1 Properties of Exponents

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4.1 Properties of Exponents
PG. 107
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Must Have the Same Base to Apply Most Properties
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Properties of Exponents
Product of Powers Power of a Power Power
of a Product
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Properties of Exponents
Negative Exponent Zero Exponent
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Properties of Exponents
Quotient of Powers Power of a Quotient
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Investigating Math Activity (p. 101)
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(No Transcript)
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for Examples 1 and 2
GUIDED PRACTICE
Evaluate the expression. Tell which properties of
exponents you used.
1. (42 )3
ANSWER
4096 Power of a power property
2. (8)(8)3
4096 Product of a powers property
ANSWER
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ANSWER
Power of a quotient property
729
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WARM-UP
Standardized Test Practice
SOLUTION
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for Examples 3, 4, and 5
GUIDED PRACTICE
Simplify the expression. Tell which properties
of exponents you used.
5. x6x5 x3
x2 Product of powers property
ANSWER
6. (7y2z5)(y4z1)
Product of powers property, Negative exponent
property
ANSWER
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for Examples 3, 4, and 5
GUIDED PRACTICE
Power of a power property, Negative exponent
property
ANSWER
Quotient of powers property, Power of a
Quotient property, Negative exponent property
ANSWER
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SCIENTIFIC NOTATION

• Is in the form c x 10n
• C is a number between 1 and 9.99.
• n is an integer
• Positive bigger number (move right)
• Negative smaller number (move left)

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SCIENTIFIC NOTATION Examples

• Ex 1) 1,200
• Ex 2) 0.0004
• Ex 3) 31,200,000

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Multiplying Scientific Notation Examples

• Ex 4) (3.2 x 103) (1.4 x 102)
• Ex 5) (2.7 x 104) 2
• Ex 6) (2.2 x 10-5) (7.4 x 103)

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for Examples 1 and 2
GUIDED PRACTICE
2 3 1011
quotient of power property
ANSWER
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Homework

• Pg. 110, 1 32 all