Copyright©amberpasillas2010. Factored FormExponential Form x 8 y 8 x 8 2 x 2 y a b a 2 2a 2 b 1 13...
-
Upload
angelica-lynch -
Category
Documents
-
view
216 -
download
0
Transcript of Copyright©amberpasillas2010. Factored FormExponential Form x 8 y 8 x 8 2 x 2 y a b a 2 2a 2 b 1 13...
copyright©amberpasillas2010
Factored Form Exponential Formx • 8 • y • 8 • x 82x2y
a • b • a • 2 2a2b1
13 p p p r r 13p3r2
copyright©amberpasillas2010
n n n n n
x3
x x x=
exponent
Base
When The Bases Are The Samexa
=xb xa + b
n3
=n2 n3 + 2Ex:
=
= n5
n5
ADD EXPONENTS!
copyright©amberpasillas2010
1) 2)
3) 4)
5) 6)
4 5a a 5 8m m
2 53x x 3 62 4b b
4 23 (5 )n n 4 33 ( 2 )a a
9a 13m
73x 98b
615n 76a
HINT: Multiply coefficients
1
copyright©amberpasillas2010
( )Power to Power Rule
xa
=b
xab
( )n3 2
(n n n)
Ex:
2= (n n n) (n n n) = n
6
= n3 2
= n6
When You Have an Exponent On The Outside of Parenthesis
MULTIPLY EXPONENTS!
copyright©amberpasillas2010
Prime Numbers- A Prime number is a whole number with only 2 factors, one and itself.
Composite Numbers- A Composite number is a number that has more than two factors.
Example: 2, 3, 5, 7, 11, 13, 17…
Example: 4, 6, 8, 9, 10, 12, 14, 15…
copyright©amberpasillas2010
Composite Number -Composite numbers can be written as the product of prime numbers. This is called:
Prime Factorization -Prime Factorization is the unique set of prime numbers whose product equals a given number.
copyright©amberpasillas2010
Prime Factorization is when you write a
number as the product of prime numbers. Factor
Tree 36
36 2 2 3 3 2 236 2 3
2 18
2 9
3 3
Circle the
prime number
s
copyright©amberpasillas2010
Write the prime factorization of the number 24.24 24
2 12
2 6
4 6
2 32 2
32 3 32 32 3
Circle the prime numbers
Notice you get the same answer doing it two different ways! No matter how your start, you will get the same answer!
That is why prime factorization is so unique!
copyright©amberpasillas2010
96
2 48
6 8
96 2 2 2 2 2 3
2 3 2 4
2 2
Notice we put them in order from least to greatest
596 2 3
copyright©amberpasillas2010
310
15
a
a=
2 5 a a a 3 5 a =
22
3
a
Write each expression in FACTOR FORM then simplify.
copyright©amberpasillas2010
4
20
5
b
b=
2 2 5 b 5 b b b b
= 3
4
b
Write each expression in FACTOR FORM then simplify.
copyright©amberpasillas2010
3
2
27a b
36ab=
3•3•3• • • •a a a b2• 2 •3•3• • •a b b =
23
4
a
b
Write each expression in FACTOR FORM then simplify.
copyright©amberpasillas2010
#13
= x8+5
x8• x
5
(4a7b)
3 = 43a
7•3b
3
= x13
= 64a21
b3
Product of a Power Property
Power of a Power Property
= (-12)2(-3 • 4)
2
=144
Power of a Product Property
= (-12)(-12)
copyright©amberpasillas2010
Prime Factorization is when you write a
number as the product of prime numbers. Factor Tree 36
#14
36 2 2 3 3 2 236 2 3
2 18
2 9
3 3
Circle the
prime numbers