1.1 Review Worksheet, Part 2 (continued)
1.1.5 Properties of Exponents and Scientific Notation Write each expression in expanded form. 12. ( m + 2 n ) 3 13. 5 x 3 14. ( − 9 fg ) 3 h 4
15. 2 a ( − b 2 − a ) 2
Simplify each expression. 16. ( − 4) − 2 17.
3
1
− 5 2
− 3 4
18. −
19. − 6 0
−
Simplify each expression. Assume all variables are nonzero. 20. − − − s t s t 100 25 3 5 2 6 21. ( − x 4 y 2 ) 5 22. (16 u 4 v 6 ) − 2
23. 8 a 2 b 5 ( − 2 a 3 b 2 )
Simplify each expression. Write the answer in scientific notation. 24. (3.2 × 10 6 ) (1.7 × 10 − 4 ) 25. × × − 5.1 10 3.4 10 4 5
26. (6.8 × 10 3 ) (9.5 × 10 5 )
27. A computer with a 5.4 GHz microprocessor can make 5.4 × 10 9 calculations in one second. If a total of 5.02 × 10 11 calculations are required to convert a given MP3 file to audio, how many minutes will the computer take to convert the file? Round your answer to the nearest hundredth.
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