Product Rule
Expanded Form
Evaluate an Exponent
Power Rule
Evaluate Expressions (PEMDAS)
100

Write as a single exponent:

a x a

a2

100

a3

a x a x a

100

32

9

100
Write as a single exponent:


(x2)3

x6

100

32 + 1

10

200

Write as a single exponent

a3 x a4

a7

200

Write 53 in expanded form

x 5

200

42

16

200

Write as a single exponent.

(y4)5

y20

200

(1+4)2 - 2

23

300

Write as a single exponent

a11 x a15

a26

300

What is...

x332 in expanded form.

(x)(x)(x)(3)(3)
300

33

27

300

Write as a single exponent then evaluate.

(31)2

32 = 9
300

2(1 + 1) - 5

-1

400

Write as a single exponent:

a-5 x a6

a1

400

What does expanded form MEAN?

Writing an exponent as multiplication.

400

24

16
400

Write as a single exponent then evaluate.

(22)3

64

26

400

32 + 32 + (-11)

7

500

Write as a single exponent. Double points if you can simplify the expression

a215 x a-200 x a-15

a0 which is 1

500

What does an exponent (5the little number) represent? What does it tell you?

How many times to multiply the BASE by itself.

500

106

1,000,000

(one million)

500

Simplify using the power rule.

(3x2)2

32x4

9x

500

x = 5

2x2 - 8x

10