x5

1
Algebra 1 Section 8.3 Division Properties of
Exponents
Division Properties of Exponents
x5 x2 x3 (when dividing, subtract the
exponents)
2
x y
x2 y2
(take everything inside the parentheses to the
exponent on the outside)

2
Evaluate the expression.

• 66
• 64

• 22
• 2 -3

• 74 7
• 77

62 36
25 32
75 77
7 -2
1 72
2
3

• 5
• 3

• - 4
• 5

1 49
53 33
(- 4)2 52
16 25
125 27
3
4

• 2
• x

• x7 1
• x2

x7 x2
24 x4
x5
16 x4

• 4xy3 5xy 3
• 2y x2

multiply across horizontally
20x2 2x2y
10 y
4

• -9x5y7 (2xy)2
• x2y3 -6x2y2

-9x5y7 4x2y2 x2y3
-6x2y2
multiply across horizontally
-36x7y9 -6x4y5

• 7x 1 y 3 (3xy2) 1
• x2 y 2 xy

7x 1 y 3 1 x2 y
2 (3xy2)(xy)
6x3y4
7x 1 y 3 1 x2 y 2
3x2y3
7x 1 y 3 3x4y
7x 5 y 4 3
7 3x5y4