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# Review Sheet for MATH 1300 at UH

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This 3 page Class Notes was uploaded by an elite notetaker on Friday February 6, 2015. The Class Notes belongs to a course at University of Houston taught by a professor in Fall. Since its upload, it has received 17 views.

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Date Created: 02/06/15

Exercise Set 14 Exponents and Radicals Evaluate the following 723 272 29 a 2 8 h 27 51 751 30 a 5 2 h 573 31 a 23 2 b 253 172 32 a 3 1 22 b 3 2 10 Simplify the following No answers should contain negative exponents 33 a 3x3y4 23 b 33c3y z2 3 34 a 6x 5y3z42 b 6x 5y3z4 2 35 36 37 38 39 40 41 Math 1300 Fundamentals qualheman39cs The University of Houston 42 Write each of the following expressions in simplest radical form or as a rational number if appropriate If it is already in simplest radical form say so 45 a 36 b J7 c J 46 a JE b JE c 32 47 a 50 b J17 c L 16 4s a 192 b E c J55 49 a J b J5 c 27 50 a 45 b JR c M 51 a J5 b 80 c J5 52 a M b M c 84 53 a b c 54 a b E c 55 a f l l l E 13 c l 3 b E c E 56 a Chapter 139Intr0ductaiy Information andReview Exercise Set 14 Exponents and Radicals 57 a s35 b x4y527 b Jazzch 58 a 27 Evaluate the following swwin mW 6wwrww mm We can evaluate radicals other than square roots With square roots we know for example that J5 7 since 72 49 and 4 49 is not a real number There is no real number that when squared gives a value of 49 since 72 and 72 give a value of 49 not 49 The answer is a complex number which will not be addressed in this course In a similar fashion we can compute the following Cube Roots J3 125 5 since 53 125 J3 125 5 since 53 125 Fourth Roots quot 10000 10 since 104 10000 l 10 000 is not a real number Fifth Roots 2since 2532 J5 32 2 since 25 32 Sixth Roots 6 66 14 s1nce 64 5 is not a real number Evaluate the following If the answer is not a real number state Not a real number b m b J3 Math 1300 Fundamentals QfMalheman39cs The University of Houston 61 a M 0 la 62 a J3 c 43 63 64 65 66 67 68 69 70 a W b 378 c 7 a 45 b 4781 0 745 a 21 000 000 c 161 000 000 a 5 b 5732 b 1000000 0 45 c 11 c 731 a 4 b 47 a b a hoolooo 1 371001000 c 7V5 1001000 a i b 671 c 7 Chapter I 39 Introductory Information andReview Exercise Set 14 Exponents and Radicals Write each of the following products instead as a base Write each of the following products instead as a base and exponent For example 6 6 61 and exponent Do not evaluate simply write the base and exponent No answers should contain negative 1 a 777 b 1010 exponents c 888888 d 3333333 13 a 52 55 b 5 2 56 2 a 999 b 44444 c 5555 d 1717 14 a 3835 b 383 5 69 69 Fill in the appropriate symbol from the set lt gt 15 a 6 2 h 67 2 79 79 3 7 0 16 a 7 5 h 77 4 94 0 47 43 411473 17 a 48 b 48 475 5 786 0 812 874 89 18 a b 6 786 0 U 85 84 0 848 1 2 3 7 102 10 19 a 736 b 52quot s 7103 40 20 a 324 b 2354 Evaluate the following Rewrite each expression so that it contains positive 9 a 31 b 32 c 33 explonetnttlsl ratherthan negative exponents and then d 731 e 732 733 eva uae eexpresswn g 31 h 32 i 33 21 a 5 1 b 5 2 c 5 3 0 3 k 73 I 73 m 34 n 73 o 734 22 a 371 b 372 c 373 0 23 a 2 3 b 2 5 10 a 5 b 75 c 50 d 51 e 51 i 751 24 a 72 b 104 52 h 752 752 71 a g 3 U 3 I 25 a l b 3 i 5 k 5 l 753 5 3 m 54 n 754 o 75 r1 71 26 a b 27 a 752 b 54 12 a 0032 b 2 1 2 1 2 11 a 05 b g c 75 4 1 2 l j c E 28 a 78 b 78 Math 1300 Fundamentals qualheman39cs The University of Houston Chapter 139Intr0ductaiy Information andReview

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