What did we notice about a base raised to the power zero?

Zero Property of Exponents

A nonzero number to the zero power is 1:

a a0 1 0 ,

13

3

xxx

xxx

x

x

0333

3

xxx

x

03

3

1 xx

x

Proof:

undefinedis00

What did we notice about negative exponents?

Proof:

a is th e rec ip ro ca l

o f a

- n

n :

aa

ann

1

0,

3525

2 xx

x

x

35

2 1

xxxxxx

xx

x

x

335

2 1 xxx

x

What if the negative exponent is already under the line?

Proof:

5

5

5

5

5

1

11

11

1

x

x

x

x

x

The negative exponent will then change to the top:

55

1x

x

Evaluate the following expressions.

A . B . 1

4

-33 2

A . 31

31

9

22

B . 1

44

64

33

Rewrite the following expressions using positive exponents.

Solutions

A . B . a

b

-3

-55 4x

A . 5 51

5

44

4

xx

x

B . a

b ab

b

a

3

5 35

5

3

1

1) Evaluate the following expressions.

A . - B . C . D . E . 3

5

3

29 9 4

1

312

0

34 7 2 2

20

2) Rewrite the following expressions with positive exponents.

A . B . C . D . E . y cs

ra x

6 4

3

23 1 4

72

5 3( )

HW Ignore the instructions in the book. Write all your final answer with only

positive exponents.

Pg . 391 # 2 to 60 even