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6-1 Exponents.notebook December 17, 2015
6-1 Exponents 1
Ex 1:
84 83
84 + 3
87
ANSWER
Ex 3:
y y2 y5
y1 + 2 + 5
y8
ANSWER
Exponent Zero:
x0 = 1
Note: y = y1
Rule: Any positive number to the zero power is = 1
90 = 11210 = 1
Checks for Examples 1 & 2
Ex 2:
(-3)5 + 5
ANSWER
Multiplying Exponents
6-1 Exponents.notebook December 17, 2015
Ex 4:
6-1 Exponents
5 - 1
4ANSWER
Ex 5:
3 - 3
0
ANSWER
Ex 6:
4 - 0
ANSWER
Dividing Exponents
6-1 Exponents.notebook December 17, 2015
Negative Exponent:1x
Ex 7:
1
4ANSWER
Ex 8:
1ANSWER
116
Ex 9:
3-3
31 - 4
ANSWER
6-1 Exponents
127
Simply exponents that are 3 or less.
6-1 Exponents.notebook December 17, 2015
Ex 10:
6-1 Exponents
3
ANSWER19
3-2
Ex 11:
1 + - 3
(-3)1 + - 4 + - 1
(-3) -4
ANSWER
Checks for Examples 10 & 11:
3 1 - 3
(-3)1 - 4 - 1
6-1 Exponents.notebook December 17, 2015
66-1 Exponents
Ex 12:
44
44
44
Short cut
44 x 3
ANSWER
Ex 13:
1
1
-51 x 3
x5 x 3
-53
x15
-53
x15
-5 x15
-5 -5
25 x-515
ANSWER
:
Power Property of Exponents
Simplify exponents that are 3 or less.
6-1 Exponents.notebook December 17, 2015
76-1 ExponentsEx 14:
yx-3 x -2 3 x -2
yx6 -6
yx6 -6
yx6 -6
ANSWER
Ex 15:
1
1
-21 x -3
x2 x -3
y-1 x -3
-2-3x
-6y
3
RULE: You cannot have negative exponents in answer.If you have negative exponents, make fraction and bring them to bottom.
If you have negative, make a fraction and bring to bottom.
-2-3x
-6y
3
-2-3x
-6y
3
y3
-23x
6
Note: only the exponents turn positive. -2 is not an exponent.
or
y
-2 x
-2 -2 -2 x
y3
x6
Note: Minus sign can go on bottom, middle or top.
ANSWER
Simplify exponents that are 3 or less.
6-1 Exponents.notebook December 17, 2015
96-1 ExponentsEx 16:
p
p
2 x 2
3 x 2
p
p
4
6
p 4 - 6
p-2
ANSWER
Ex 17:
Distribute the 2.
6
6
Distribute the 3.
2
2
2 x 3
6 x 3
2
2
6
18
2 6 - 18
2-12
ANSWER
Do not simplify exponents that are larger than 3.
6-1 Exponents.notebook December 17, 2015
116-1 ExponentsEx 18:
Get rid of inner parenthesis by distributing -3.
Distribute the -1.
(-2)-9 - -3
ANSWER
9
9
-9
-3
-9 + 3
-6
(-2)
(-2)
Do not simplify exponents that are larger than .
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