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Study Guide Unit 2, Test 2 Name ______________________________________ Simplify each expression. 1) (2) 3 5 2 5) (4d ) 9) x 4 y 2 z 8 xy6 z 109 2) 104 6) (3x y )( 9 x y) 6 10) 12a 7 h2 4) 4a 3 h a6 3) 6 a 3 2 14b 9 7b 6 2 0 7) 23 ∙ (9 ) 11) 45 ∙ 4-5 ∙ 13 12) 5 8 8) k k k 5k 5 3k 2 2k 8 13) For a number to be written in scientific notation the first factor must have exactly _________ digit before the decimal and the second factor must be a power of ________. 14) Write a number that is not in scientific notation and tell why it is not in the proper form. Write in scientific notation: 15) 45,600,000 16) 0.000829 17) 1250 Write in standard form: 18) 5.6 x 102 19) 2.7 x 10-3 Find the product. Be sure your answer is written in scientific notation. 21) 2.1 x 10-3 4 x 107 22) (1.9 x 103 )(4.5 x 102) Find the quotient. Be sure your answer is written in scientific notation. 23) 6 10 3 2 10 4 24) 0.782 10 2 3.4 10 2 20) -2.01 x 104 25) 6c 8 2(2c 1) 26) 27) 9x 8 x 8 28) 3(x 2) 1 2(x 5) 5x 3( x 6) 5 x 8 29) Lake Superior has roughly 25 times the volume of Lake Erie. If the volume of Lake Superior is approximately 1.22 x 104 km3, what is the approximate volume of Lake Erie? 30) A box contains 5 x 103 paper clips. The mass of each paper clip in the box is 8 x 10-4. What is the combined mass of the paper clips in the box?