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```Name ____________________________________
Date ___________
Exponents Review Worksheet
Simplify the following using the properties of exponents. Make sure to show all of your work
1.
63 * 6 2
9.
9 j5
3 j2
10.
36 x 9 y 5
18 x 3 y 2
11.
 24m 6 n 3
6m 2 n 2
2. (3) x 2 * x 3
3. y 8 * y 9
4. (ab 2 )(a 2b 3 )
5. (5m 3 )(3m 2 n 4 )
6. (10 x 4 y 2 )(3x 2 y)
7.
w6
w3
8.
a 7b 2
a 6b
12.  6 x 4 y 6
13.
34
32
14.
12 x 5
4 x 2
15. a 2 b 2 c 1
Evaluate the following cube roots
16. 3 125
17. 3 1
18.
3
8
Solve the following cube root equations, make sure to show all work
19. x 3  27
21. 3 x 3  24
20. x 3  64
22. 2 x 3  54
23. The wooden block has a volume of 27 cubic meters. What is the length of one side of
this wooden block?
24. Using the information from problem 24, what would the area of the top face of the box
be?
```
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