Elementary Algebra 17th Edition
ISBN: 9780998625713
Author: Lynn Marecek, MaryAnne Anthony-Smith
Publisher: Lynn Marecek, MaryAnne Anthony-Smith
1 Foundations 2 Solving Linear Equations And Inequalities 3 Math Models 4 Graphs 5 Systems Of Linear Equations 6 Polynomials 7 Factoring 8 Rational Expressions And Equations 9 Roots And Radicals 10 Quadratic Equations Chapter6: Polynomials
6.1 Add And Subtract Polynomials 6.2 Use Multiplication Properties Of Exponents 6.3 Multiply Polynomials 6.4 Special Products 6.5 Divide Monomials 6.6 Divide Polynomials 6.7 Integer Exponents And Scientific Notation Chapter Questions Section6.7: Integer Exponents And Scientific Notation
Problem 6.177TI: Simplify: (a) 23 (b) 107 Problem 6.178TI: Simplify: (a) 32 (b) 104 Problem 6.179TI: Simplify: (a) 1p8 (b) 143 . Problem 6.180TI: Simplify: (a) 1q7 (b) 124 . Problem 6.181TI: Simplify: (a) (23)4 (b) ( 6mn)2 . Problem 6.182TI: Simplify: (a) (35)3 (b) (a 2b)4 Problem 6.183TI: Simplify: (a) 52 (b) 52 (c) (15)2 (d) (15)2 Problem 6.184TI: Simplify: (a) (7)2 (b) 72 (c) (17)2 (d) (17)2 Problem 6.185TI: Simplify: (a) 631 (b) (63)1 Problem 6.186TI: Simplify: (a) 822 (b) (82)2 Problem 6.187TI: Simplify: (a) y7 (b) (z3)5 Problem 6.188TI: Simplify: (a) p9 (b) (q4)6 . Problem 6.189TI: Simplify: (a) 8p1 (b) (8p)1 (c) (8p)1 . Problem 6.190TI: Simplify: (a) 11q1 (b) (11q)1 (c) (11q)1 (c) (11q)1 . Problem 6.191TI: Simplify: (a) (x3)x7 (b) y7y2 (c) z4z5 Problem 6.192TI: Simplify: (a) a1a6 (b) b8b4 (c) c8c7 . Problem 6.193TI: Simplify: (p6q2)(p9q1) Problem 6.194TI: Simplify: (r5s3)(r7s5) Problem 6.195TI: Simplify: (3u5v7)(4u4v2) . Problem 6.196TI: Simplify: (6c6d4)(5c2d1) Problem 6.197TI: Simplify: (4x4)2 Problem 6.198TI: Simplify: (2b3)4 . Problem 6.199TI: Simplify: (8a4)2 . Problem 6.200TI: Simplify: (2c4)3 Problem 6.201TI: Simplify: x8x3 . Problem 6.202TI: Simplify: y8y6 . Problem 6.203TI: Write in scientific notation: 96,000. Problem 6.204TI: Write in scientific notation: 48,300. Problem 6.205TI: Write in scientific notation: 0.0078. Problem 6.206TI: Write in scientific notation: 0.0 129. Problem 6.207TI: Convert to decimal form: 1.3103 . Problem 6.208TI: Convert to decimal form: 9.25104 . Problem 6.209TI: Convert to decimal form: 1.2104 . Problem 6.210TI: Convert to decimal form: 7.5102 . Problem 6.211TI: Multiply (3106)(2108) . Write answers in decimal form. Problem 6.212TI: Multiply (3102)(3101) . Write answers in decimal form. Problem 6.213TI: Divide 81042101 . Write answers in decimal form. Problem 6.214TI: Divide 81024102 . Write answers in decimal form. Problem 500E: In the following exercises, simplify. 500. (a) 42 (b) 103 Problem 501E: In the following exercises, simplify. 501. (a) 34 (b) 102 Problem 502E: In the following exercises, simplify. 502. (a) 53 (b) 105 Problem 503E: In the following exercises, simplify. 503. (a) 28 (b) 102 Problem 504E: In the following exercises, simplify. 504. (a) 1c5 (b) 132 Problem 505E: In the following exercises, simplify. 505. (a) 1c5 (b) 152 Problem 506E: In the following exercises, simplify. 506. (a) 1q10 (b) 1103 Problem 507E: In the following exercises, simplify. 507. (a) 1t9 (b) 1104 Problem 508E: In the following exercises, simplify. 508. (a) (58)2 (b) ( 3mn)2 Problem 509E: In the following exercises, simplify. 509. (a) (3 10)2 (b) (2 cd)3 Problem 510E: In the following exercises, simplify. 510. (a) (49)3 (b) ( u 2 2v)5 Problem 511E: In the following exercises, simplify. 511. (a) (72)3 (b) (3 x y 2 )3 Problem 512E: In the following exercises, simplify. 512. (a) (5)2 (b) 52 (c) (15)2 (d) (15)2 Problem 513E: In the following exercises, simplify. 513. (a) (7)2 (b) 72 (c) (17)2 (d) (17)2 Problem 514E: In the following exercises, simplify. 514. (a) 33 (b) (13)3 (c) (13)3 (d) (3)3 Problem 515E: In the following exercises, simplify. 515. (a) 53 (b) (15)3 (c) (15)3 (d) (5)3 Problem 516E: In the following exercises, simplify. 516. (a) 351 (b) (35)1 Problem 517E: In the following exercises, simplify. 517. (a) 251 (b) (25)1 Problem 518E: In the following exercises, simplify. 518. (a) 452 (b) (45)2 Problem 519E: In the following exercises, simplify. 519. (a) 342 (b) (34)2 Problem 520E: In the following exercises, simplify. 520. (a) m4 (b) (x3)4 Problem 521E: In the following exercises, simplify. 521. (a) b5 (b) (k2)5 Problem 522E: In the following exercises, simplify. 522. (a) p10 (b) (q6)8 Problem 523E: In the following exercises, simplify. 523. (a) s8 (b) (a9)10 Problem 524E: In the following exercises, simplify. 524. (a) 7n1 (b) (7n)1 (c) (7n)1 Problem 525E: In the following exercises, simplify. 525. (a) 6r1 (b) (6r)1 (c) (6r)1 Problem 526E: In the following exercises, simplify. 526. (a) (3p)2 (b) 3p2 (c) 3p2 Problem 527E: In the following exercises, simplify. 527. (a) (2q)4 (b) 2q4 (c) 2q4 Problem 528E: In the following exercises, simplify. 528. (a) b4b8 (b) r2r5 (c) x7x3 Problem 529E: In the following exercises, simplify. 529. (a) s3s7 (b) q8q3 (c) y2y5 Problem 530E: In the following exercises, simplify. 530. (a) a3a3 (b) aa3 (c) aa3 Problem 531E: In the following exercises, simplify. 531. (a) y5y5 (b) yy5 (c) yy5 Problem 532E: In the following exercises, simplify. 532. p5p2p4 Problem 533E: In the following exercises, simplify. 533. x4x2x3 Problem 534E: In the following exercises, simplify. 534. (w4x5)(w2x4) Problem 535E: In the following exercises, simplify. 535. (m3n3)(m5n1) Problem 536E: In the following exercises, simplify. 536. (uv2)(u5v3) Problem 537E: In the following exercises, simplify. 537. (pq4)(p6q3) Problem 538E: In the following exercises, simplify. 538. (6c3d9)(2c4d5) Problem 539E: In the following exercises, simplify. 539. (2j5k8)(7j2k3) Problem 540E: In the following exercises, simplify. 540. (4r2s8)(9r4s3) Problem 541E: In the following exercises, simplify. 541. (5m4n6)(8m5n3) Problem 542E: In the following exercises, simplify. 542. (5x2)2 Problem 543E: In the following exercises, simplify. 543. (4y3)3 Problem 544E: In the following exercises, simplify. 544. (3z3)2 Problem 545E: In the following exercises, simplify. 545. (2p5)2 Problem 546E: In the following exercises, simplify. 546. t9t3 Problem 547E: In the following exercises, simplify. 547. n5n2 Problem 548E: In the following exercises, simplify. 548. x7x3 Problem 549E: In the following exercises, simplify. 549. y5y10 Problem 550E: In the following exercises, write each number in scientific notation. 550. 57,000 Problem 551E: In the following exercises, write each number in scientific notation. 551. 340,000 Problem 552E: In the following exercises, write each number in scientific notation. 552. 8,750,000 Problem 553E: In the following exercises, write each number in scientific notation. 553. 1,290,000 Problem 554E: In the following exercises, write each number in scientific notation. 554. 0.026 Problem 555E: In the following exercises, write each number in scientific notation. 555. 0.041 Problem 556E: In the following exercises, write each number in scientific notation. 556. 0.00000871 Problem 557E: In the following exercises, write each number in scientific notation. 557. 0.00000103 Problem 558E: In the following exercises, write each number in scientific notation. 558. 5.2102 Problem 559E: In the following exercises, write each number in scientific notation. 559. 8.3102 Problem 560E: In the following exercises, convert each number to decimal form. 560. 7.5106 Problem 561E: In the following exercises, convert each number to decimal form. 561. 1.61010 Problem 562E: In the following exercises, convert each number to decimal form. 562. 2.5102 Problem 563E: In the following exercises, convert each number to decimal form. 563. 3.8102 Problem 564E: In the following exercises, convert each number to decimal form. 564. 4.13105 Problem 565E: In the following exercises, convert each number to decimal form. 565. 1.93105 Problem 566E: In the following exercises, multiply. Write your answer in decimal form. 566. (3105)(3109) Problem 567E: In the following exercises, multiply. Write your answer in decimal form. 567. (2102)(1104) Problem 568E: In the following exercises, multiply. Write your answer in decimal form. 568. (7.1102)(2.4104) Problem 569E: In the following exercises, multiply. Write your answer in decimal form. 569. (3.5104)(1.6102) Problem 570E: In the following exercises, multiply. Write your answer in decimal form. 570. 71031107 Problem 571E: In the following exercises, multiply. Write your answer in decimal form. 571. 510211010 Problem 572E: In the following exercises, multiply. Write your answer in decimal form. 572. 61043102 Problem 573E: In the following exercises, multiply. Write your answer in decimal form. 573. 81064101 Problem 574E: The population of the United States on July 4, 2010 was almost 310,000,000. Write the number in... Problem 575E: The population of the world on July 4, 2010 was more than 6,850,000,000. Write the number in... Problem 576E: The average width of a human hair is 0.0018 centimeters. Write the number in scientific notation. Problem 577E: The probability of winning the 2010 Megamillions lottery was about 0.0000000057. Write the number in... Problem 578E: In 2010, the number of Facebook users each day who changed their status to ‘engaged’ was 2104 .... Problem 579E: At the start of 2012, the US federal budget had a deficit of more than 1.51013 . Convert this number... Problem 580E: The concentration of carbon dioxide in the atmosphere is 3.9104 . Convert this number to decimal... Problem 581E: The width of a proton is 1105 of the width of an atom. Convert this number to decimal form. Problem 582E: Health care costs The Centers for Medicare and Medicaid projects that consumers will spend more than... Problem 583E: Coin production In 1942, the U.S. Mint produced 154,500,000 nickels. Write 154,500,000 in scientific... Problem 584E: Distance The distance between Earth and one of the brightest stars in the night star is 33.7 light... Problem 585E: Debt At the end of fiscal year 2015 the gross United States federal government debt was estimated to... Problem 586E: (a) Explain the meaning of the exponent in the expression 23 . (b) Explain the meaning of the... Problem 587E: When you convert a number from decimal notation to scientific notation, how do you know if the... Problem 6.189TI: Simplify: (a) 8p1 (b) (8p)1 (c) (8p)1 .
Related questions
Given the two vectors find:
i) The vector projection of a in the direction of b
ii) The vector rejection of a in the direction perpendicular to b
Please give a detailed answer. What does vector rejection of a in the direction perpendicular to b actually mean?
Transcribed Image Text: d = 8î + 4ĵ – 8k
-
b = -î – 2j + k
Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.
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