Same Base (Product of Powers Property)
Same Exponent (Power of Products Property)
Power of Powers Property
Quotient of Powers Property
Exiled by Exponents
100

Simplify: 5x 57

59

100

Simplify: 23 x 43 

83

(2 x 4)3

100

Simplify: (105)4

1020

100

Simplify: 2/ 21

24

100

What would make this statement true?

8x 8= 810

? = 4

200

Simplify: 110 x 11

111

200

Simplify: 5x 27

107

(5 x 2)7

200

Simplify: (19)1

19

200

Simplify: 8/ 84

83

200

What would make this statement true?

(53)= 524

? = 4

300

Simplify: 12-2 x 125

123

300

Simplify: 1x 2x 48

88

(1 x 2 x 4)8

300

Simplify: (114)11

1144

300

Simplify: 3/ 35

3-3

400

Simplify: 4x 4x 42

47

400

True or False: (5 x 11)4 = 5+ 114

False

(5 x 11)4 = 5x 114

400

Simplify: (2351)2

2652

400

Write down the property rules for solving Quotient Powers.

When dividing two exponential expressions with the same base, subtract the exponents and keep the base.

M
e
n
u