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8.1-8.4 Review
Algebra
Name___________________________
Block_________
Simplify each expression as much as possible. Your final answers should not contain any decimals,
negative exponents, or parentheses.
1. x( x 2 )( x 5 )
2. (4bc 5 )( 3b 2 )
3.  5(ab) 4
4. (2 x 2 y 4 ) 6
m
5.  
3
3
6. ( xy3 )( xy )
c8
c3
7. (4 xy 2 z ) 2
8.
9. (2 xy) 0
10.  4n 0
11.
18 y 4
9
12. 10 x 3 y 2
13. 2 3 (2 5 )
15.
14. (5n) 2
1

16. (14 xy 4 ) xy 2 
7

24n 5 m 9
16n 7 m 3
over
18. (2t 3 p 5 ) 4
17. k 5
Evaluate if x = 4 and y = -2 Show your substitution!
19. (2 xy) 3
20.  ( y 2 x) 2
Write each number in scientific notation.
21. 231,490,000
22. 0.000764
Write each number in standard form.
23. 2.36  10 6
24. 8.390  10 5
Order the numbers from least to greatest.
25. 2.3  10 3 , 5.9  10 2 , 3500 , 0.0008,
Evaluate
26. ( x  x ) if x = 2
2 3
1
28.  
3
2
27. 

 5 
3
29.
3
2 4
2 7
30. The distance from the Earth to the sun is about 93 million miles.
Write this number in scientific notation.
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