secret signal … on your chest “1” if true “2” if false 2 3 = (2)(2)(2)
TRANSCRIPT
Secret Signal … on your chest“1” if true“2” if false
2233 = (2)(2)(2) = (2)(2)(2)
Secret Signal … on your chest“1” if true“2” if false
2233 = 3 = 322
Secret Signal … on your chest“1” if true“2” if false
1133 = 3 = 311
Secret Signal … on your chest“1” if true“2” if false
111717 = 17 = 17
Secret Signal … on your chest“1” if true“2” if false
171711 = 17 = 17
Secret Signal … on your chest“1” if true“2” if false
3300 = 0 = 0
Secret Signal … on your chest“1” if true“2” if false
(1,762,905)(1,762,905)00 = 1 = 1
5.1 Exponential Notation2
What we will learn:To multiply numbers in
exponential formTo divide numbers in exponential
form
x3 means: x • x • x
x2 means: x • x
x3 • x2 means (x • x • x) •(x •x)x5
Multiplying Powers with the same base:
Xm • xn = xm+n
Simplify. Express using exponents.
84 • 83
84+3 = 87
Simplify. Express using exponents.
y • y2 • y6
y1+2+6 = y9
Simplify. Express using exponents.
(mn2) (m4n6)
m1+4 • n2+6= m5n8
Simplify. Express using exponents.
(7x2y4) (3x4y6)
x2+4 • y4+6= 21x6y10
21
Simplify. Express using exponents.
(9x3y2) (6x5y3)
54x8y5
Dividing Powers with the same base:
Xm ÷ xn = xm-n
Dividing Powers with the Same Base
xx
xxxxx
x
x
2
53x
Simplify. Express using exponents.
2
5
4
4
325 44
44
44444
Simplify. Express using exponents.
0
7
m
m
707 mm
Simplify. Express using exponents.
32
55
qp
qp
233525 qpqp
qqqpp
qqqqqppppp
Simplify. Express using exponents.
6 4
2 3
8
2
x y
x q
6 2 4 3x y 4
4 14x y
Simplify. Express using exponents.
5
2
5
5
352 55
55555
55
35
1
nn
aa
Definition
1
:
Express using positive exponents
8-2
28
1
Express using positive exponents
3-3
27
1
3
13
Express using positive exponents
ab-1
b
a
Exponent applies to the figure immediately to the
left
22 3
3x
x 2
2
3
13
xx
Get out a piece of paper
• How many times do you think you can fold it in halves?
Definition:
a0 = 1(00 is “undefined)
24 = 16 34 = 81 04 = 0
23 = 8 33 = 27 03 = 0
22 = 4 32= 9 02 = 0
21 = 31 = 01 = 0
20 = 30 = 00 =
2-1 = 3-1 = 0-1 =
Definition:
a0 = 1(00 is “undefined)
24 = 16 34 = 81 04 = 0
23 = 8 33 = 27 03 = 0
22 = 4 32= 9 02 = 0
21 = 31 = 01 = 0
20 = 30 = 00 =
2-1 = 3-1 = 0-1 =
ReviewWhat we learned:
To multiply numbers in exponential form Add the exponents
To divide numbers in exponential form Subtract the exponents
n0 = 1n1 = nn-2 =
2
1
n
Assignment:Page 207
(4-72)even