Secret Signal … on your chest “1” if true “2” if false 2 3 = (2)(2)(2)

Secret Signal … on your chest“1” if true“2” if false

2233 = (2)(2)(2) = (2)(2)(2)


2233 = 3 = 322


1133 = 3 = 311


111717 = 17 = 17


171711 = 17 = 17


3300 = 0 = 0


(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


y • y2 • y6

y1+2+6 = y9


(mn2) (m4n6)

m1+4 • n2+6= m5n8


(7x2y4) (3x4y6)

x2+4 • y4+6= 21x6y10

21


(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


2

5

4

4

325 44

44

44444


0

7

m

m

707 mm


32

55

qp

qp

233525 qpqp

qqqpp

qqqqqppppp


6 4

2 3

8

2

x y

x q

6 2 4 3x y 4

4 14x y


5

2

5

5

352 55

55555

55

35

1

nn

aa

Definition

1

:

Express using positive exponents

8-2

28

1


3-3

27

1

3

13


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 =

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

Secret Signal … on your chest “1” if true “2” if false 2 3 = (2)(2)(2)

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