5-1 ExponentsP911: Divide Monomials

Multiplying Powers (like bases)nmnm aaa

)8888()88(88 42 means

Example 1:

642 88

To find total : add

Example 2

))()(( 5223 abbaba))(( 152123 ba

86 ba

How many a’s ?

How many b’s?

Dividing Powers (like bases)

Example 3

nmn

m

aaa Cancel smaller amount or

To find difference: subtract

1010101010101010

1010

2

6

means

426 1010

Example 4

22

34

yxyx

2324 yxyx2

Example 5

yyyyyyyymeans

yy

5

3

2

1y

What about the rule?253

5

3 yy

yy

so 22 1

yy

A negative exponent represents a fraction!!!

Negative Exponents

mm

aa 1

m

m

a

meansa 1

11 or

mm

aa

11

Moves base to opposite place in fraction

mm a

a

11) 2)

To divide by a fraction we

multiply by the reciprocal

Zero exponent

1xx

Using Rule011 xx So 10 x

Any # to zero power is 1

Can we distribute a power?

Does (a + b)m = am + bm

Find counterexample (not example)222 43)43( Does

?16972 Does

NO!

Marker Board pgs 207-208

21 43 45 55 57 70 79 81 83 93 97 103 107

Assignment 5-1/207-208/4-84 M4, 92-118e