4.1 Properties of Exponents PG. 107. Must Have the Same Base to Apply Most Properties.
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Transcript of 4.1 Properties of Exponents PG. 107. Must Have the Same Base to Apply Most Properties.
4.1 Properties of Exponents
PG. 107
Must Have the Same Base to Apply Most Properties
xb
“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
“Negative Exponent”
“Zero Exponent”
Properties of Exponents
1 , 0mma aa
0 1, 0a a
“Quotient of Powers”
“Power of a Quotient”
, 0m
m nn
a a aa
, 0m m
m
a a bb b
Properties of Exponents
Investigating Math Activity (p. 101)
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
WARM-UP Standardized Test Practice
SOLUTION
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
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
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)
SCIENTIFIC NOTATION Examples…
Ex 1) 1,200
Ex 2) 0.0004
Ex 3) 31,200,000
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)
GUIDED PRACTICE for Examples 1 and 2
6 10 – 4
9 107
4.
; quotient of power property 2
3 1011ANSWER
Homework Pg. 110, 1 – 32 all