Name _____________________________ Class ___________________Date ____________
Practice 7.1 – 7.4 (QUIZ NEXT TUESDAY!!)
Multiply and simplify. Assume that all variables are positive.
9 x 2  9 y5
1.
3
2.
50 x2 z 5  3 15 y3 z
Simplify. Assume that all variables are positive.
3.
36x3
4.
3
125y 2 z 4
5.
18k 6
6.
3
16a12
7.
x2 y10 z
8.
4
256s7t12
9.
3
216x4 y3
10.
75r 3
11.
4
625u 5v8
Simplify. Rationalize all denominators. Assume that all variables are positive.
12.
13. 6 40  2 90  3 160
28  4 63  2 7
14. 3 12  7 75  54
15. 4 3 81  2 3 72  3 3 24
16. 3 225 x  5 144 x
17. 6 45 y 2  4 20 y 2
18.
3

20.
3  10
5 2
y  5 2 y 5 5

19.
21.

x 3

x 3
2  14
7 2

22.
2 3 x
3
x
Simplify each expression. Assume that all variables are positive.
1
23.
4
(256 )
1
4
2
24. (8 )
1
3
25.
12 y 3
1
4y2
2
27.
26.
 9x
4 2
y

1
2
3
y 5  y8
28. The velocity of a falling object can be found using the formula v2 = 64h, where v is the
velocity (in feet per second) and h is the distance the object has already fallen.
a. What is the velocity of the object after a 10-foot fall?
b. How much does the velocity increase if the object falls 20 feet rather than 10 feet?