Embed Size (px)
Citation preview
Monomials – Product and Quotient
Remember your rules for multiplying and dividing variables…-
When multiplying like variables, ADD your exponents
When dividing like variables, SUBTRACT your exponents
nmnm aaa
nmn
m
aa
a
Remember your rules for multiplying and dividing variables…-
When multiplying like variables, ADD your exponents
When dividing like variables, SUBTRACT your exponents
nmnm aaa
nmn
m
aa
a
Multiplying / dividing number by number and variable by variable will help you organize the problem and not miss anything.
Monomials – Product and Quotient
PRODUCTnmnm aaa
EXAMPLE # 1 : xx 32
Monomials – Product and Quotient
PRODUCTnmnm aaa
EXAMPLE # 1 :122 33 xxx
Monomials – Product and Quotient
PRODUCTnmnm aaa
EXAMPLE # 1 :3122 333 xxxx
Monomials – Product and Quotient
PRODUCTnmnm aaa
EXAMPLE # 1 :3122 333 xxxx
EXAMPLE # 2 : 42 52 aa
Monomials – Product and Quotient
PRODUCTnmnm aaa
EXAMPLE # 1 :3122 333 xxxx
EXAMPLE # 2 : 4242 5252 aaa
Monomials – Product and Quotient
PRODUCTnmnm aaa
EXAMPLE # 1 :3122 333 xxxx
EXAMPLE # 2 : 64242 105252 aaaa
Monomials – Product and Quotient
PRODUCTnmnm aaa
EXAMPLE # 1 :3122 333 xxxx
EXAMPLE # 2 : 64242 105252 aaaa
EXAMPLE # 3 : zyxyzx 5332 64
Monomials – Product and Quotient
PRODUCTnmnm aaa
EXAMPLE # 1 :3122 333 xxxx
EXAMPLE # 2 : 64242 105252 aaaa
EXAMPLE # 3 : 1351325332 6464 zyxzyxyzx
Monomials – Product and Quotient
PRODUCTnmnm aaa
EXAMPLE # 1 :3122 333 xxxx
EXAMPLE # 2 : 64242 105252 aaaa
EXAMPLE # 3 : 4651351325332 246464 zyxzyxzyxyzx
Monomials – Product and Quotient
PRODUCTnmnm aaa
EXAMPLE # 1 :3122 333 xxxx
EXAMPLE # 2 : 64242 105252 aaaa
EXAMPLE # 3 : 4651351325332 246464 zyxzyxzyxyzx
EXAMPLE # 4 : 42 342 nnmm
Monomials – Product and Quotient
PRODUCTnmnm aaa
EXAMPLE # 1 :3122 333 xxxx
EXAMPLE # 2 : 64242 105252 aaaa
EXAMPLE # 3 : 4651351325332 246464 zyxzyxzyxyzx
EXAMPLE # 4 : 412142 342342 nmnnmm
Monomials – Product and Quotient
PRODUCTnmnm aaa
EXAMPLE # 1 :3122 333 xxxx
EXAMPLE # 2 : 64242 105252 aaaa
EXAMPLE # 3 : 4651351325332 246464 zyxzyxzyxyzx
EXAMPLE # 4 : 53412142 24342342 nmnmnnmm
Monomials – Product and Quotient
QUOTIENT
EXAMPLE # 1 :
nmn
m
aa
a
46 dd
Monomials – Product and Quotient
QUOTIENT
EXAMPLE # 1 :
nmn
m
aa
a
4646 ddd
Monomials – Product and Quotient
QUOTIENT
EXAMPLE # 1 :
nmn
m
aa
a
24646 dddd
Monomials – Product and Quotient
QUOTIENT
EXAMPLE # 1 :
nmn
m
aa
a
24646 dddd
EXAMPLE # 2 :
3
52
4
12
abc
cab
Monomials – Product and Quotient
QUOTIENT
EXAMPLE # 1 :
nmn
m
aa
a
24646 dddd
EXAMPLE # 2 :
3
52
3
52
4
12
4
12
c
c
b
b
a
a
abc
cab
Monomials – Product and Quotient
QUOTIENT
EXAMPLE # 1 :
nmn
m
aa
a
24646 dddd
EXAMPLE # 2 : 3512113
52
3
52
34
12
4
12
cbac
c
b
b
a
a
abc
cab
Anything to the zero power = 1
Monomials – Product and Quotient
QUOTIENT
EXAMPLE # 1 :
nmn
m
aa
a
24646 dddd
EXAMPLE # 2 : 3512113
52
3
52
34
12
4
12
cbac
c
b
b
a
a
abc
cab
You could have cancelled in this step…
Monomials – Product and Quotient
QUOTIENT
EXAMPLE # 1 :
nmn
m
aa
a
24646 dddd
EXAMPLE # 2 : 23512113
52
3
52
334
12
4
12bccba
c
c
b
b
a
a
abc
cab
Monomials – Product and Quotient
QUOTIENT
EXAMPLE # 1 :
nmn
m
aa
a
24646 dddd
EXAMPLE # 2 : 23512113
52
3
52
334
12
4
12bccba
c
c
b
b
a
a
abc
cab
EXAMPLE # 3 :
24
81
3
4
ba
ba
Monomials – Product and Quotient
QUOTIENT
EXAMPLE # 1 :
nmn
m
aa
a
24646 dddd
EXAMPLE # 2 : 23512113
52
3
52
334
12
4
12bccba
c
c
b
b
a
a
abc
cab
EXAMPLE # 3 :
2
8
4
1
24
81
3
4
3
4
b
b
a
a
ba
ba
Monomials – Product and Quotient
QUOTIENT
EXAMPLE # 1 :
nmn
m
aa
a
24646 dddd
EXAMPLE # 2 : 23512113
52
3
52
334
12
4
12bccba
c
c
b
b
a
a
abc
cab
EXAMPLE # 3 :
28412841
2
8
4
1
24
81
3
4
3
4
3
4
3
4baba
b
b
a
a
ba
ba
Monomials – Product and Quotient
QUOTIENT
EXAMPLE # 1 :
nmn
m
aa
a
24646 dddd
EXAMPLE # 2 : 23512113
52
3
52
334
12
4
12bccba
c
c
b
b
a
a
abc
cab
EXAMPLE # 3 :
3
4
3
4
3
4
3
4
3
4 10328412841
2
8
4
1
24
81 bababa
b
b
a
a
ba
ba
Monomials – Product and Quotient
