Exponent Practice E8 Use the quotient of powers property to simplify the expression. The simplified expression should have no negative exponents.
1. 4 4
2. b2
42
b8
3. 6 2 • 6 11 6 16
x -8
4.
x -5 • x -4
Use the power of a quotient property to simplify the expression. The simplified
5.
(
7
)
5
-2
6.
22
(
a5
)
3
7.
(
x6 y3
)
8
8.
(
expression should have no negative exponents.
Simplify the expression. Write your answer as a fraction in simplest form. The should -4 9. simplified 3x 7 y9 expression 10. have 3xy4no negative 6x -3y2 exponents. 11. 2x 2 y 4x 7 y2
( (
9.
12. 12.
( (
5 2 5x 3x 7 y y9
5x 5 y2
4x 2 y-1 6xy 2 -1 4x y 6xy
) )
) )
5 10. 2x 3xyy4
-4
2x 5 y
-3 -3
• •
• •
x 3 y2y2 11. 2x
-3 2 6x4y y
x 3 y2
4y
y4
13.
10x 3 y2
xy6 y4 2
13.
4xy3y2 2 10x
x 6 y2
4xy2
• •
• •
8x 5 y3 5 3 8x3x y
3x
Simplify: 14. (a2bc3)4(b2c)3
16. (2x2y)3(-3xy2)2
15..
2x2y • 4x7y2 x3y2 2x3
17. 2xy4 • -30xy 5xy2 2x2y
2x7 y3 2 4x 2x 3
c7 d10
)
4
Evaluate the expression with positive exponents: 18. (-5y)-3
19. 6-7 • 610
20. 3-2 • 35
21. 7x-5y-1
22.
8-2 2-4x-4
23. 5a-2 b³ y-1