4.1 properties of exponents pg. 107. must have the same base to apply most properties
DESCRIPTION
“Product of Powers” “Power of a Power” “Power of a Product” Properties of ExponentsTRANSCRIPT
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4.1 Properties of Exponents
PG. 107
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Must Have the Same Base to Apply Most Properties
xb
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“Product of Powers”
“Power of a Power”
“Power of a Product”
Properties of Exponents
m n m na a a
nm mna a
m m mab a b
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“Negative Exponent”
“Zero Exponent”
Properties of Exponents
1 , 0mma aa
0 1, 0a a
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“Quotient of Powers”
“Power of a Quotient”
, 0m
m nn
a a aa
, 0m m
m
a a bb b
Properties of Exponents
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Investigating Math Activity (p. 101)
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GUIDED PRACTICE for Examples 1 and 2
Evaluate the expression. Tell which properties of exponents you used.
1. (42 )3
4096 ; Power of a power property2. (–8)(–8)3
4096 ; Product of a powers property
3. 2 3
9
8729; Power of a quotient property
ANSWER
ANSWER
ANSWER
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WARM-UP Standardized Test Practice
SOLUTION
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GUIDED PRACTICE for Examples 3, 4, and 5
Simplify the expression. Tell which properties ofexponents you used.
5. x–6x5 x3
x2 ; Product of powers property
6. (7y2z5)(y–4z–1)
7z4
y2; Product of powers property, Negative exponent propertyANSWER
ANSWER
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GUIDED PRACTICE for Examples 3, 4, and 5
7. s 3 2
t–4
s6t8 ; Power of a power property, Negative exponent property
8. x4y–2 3
x3y6
; Quotient of powers property, Power of a Quotient property, Negative exponent property
x3 y24 ANSWER
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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GUIDED PRACTICE for Examples 1 and 2
6 10 – 4
9 107
4.
; quotient of power property 2
3 1011ANSWER
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Homework Pg. 110, 1 – 32 all