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

Checks for Examples 7 & 9

6-1 Exponents

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

86-1 ExponentsChecks for Examples 14 & 15:

3 3

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

106-1 ExponentsChecks for Examples 16 & 17

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 .

6-1 Exponents.notebook December 17, 2015

126-1 ExponentsChecks for Example 18: