By OpenStax

Algebra and Trigonometry presents a accomplished and multi-layered exploration of algebraic rules. The textual content is acceptable for a standard introductory Algebra & Trigonometry path, and was once built for use flexibly. The modular process and the richness of content material guarantees that the ebook meets the desires of various courses. Algebra and Trigonometry courses and helps scholars with differing degrees of guidance and adventure with arithmetic. rules are awarded as in actual fact as attainable, and growth to extra advanced understandings with huge reinforcement alongside the way in which. A wealth of examples - often a number of dozen in line with bankruptcy - provide specific, conceptual reasons, for you to construct in scholars a robust, cumulative beginning within the fabric earlier than asking them to use what they have discovered. it is a full-color textbook.

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**Sample text**

50. S. 6 billion. Rewrite this amount in scientific notation. TECHNOLOGY For the following exercises, use a graphing calculator to simplify. Round the answers to the nearest hundredth. 2 12 m 51. ______ 3 33 4−3 52. 173 ÷ 152x3 EXTENSIONS For the following exercises, simplify the given expression. Write answers with positive exponents. 32 a3 −2 a4 22 2 53. __ __ 2 x −5 54. ( 62 − 24) ÷ __ y m n ______ a n 55. _____ · 2 3 a2c−3 −7 −2 m2c4 x x yy 6 3 y −7 x −3 10 56.

Determine the root by looking at the denominator of the exponent. 3. Using the base as the radicand, raise the radicand to the power and use the root as the index. Example 11 Writing Rational Exponents as Radicals 2 __ Write 343 3 as a radical. Simplify. Solution The 2 tells us the power and the 3 tells us the root. 2 _ 3 — 2 3 — = √ 3432 343 343 3 = √ 37 38 CHAPTER 1 Prerequisites 3 — We know that √ 343 = 7 because 7 3 = 343. Because the cube root is easy to find, it is easiest to find the cube root before squaring for this problem.

23. 6 × 1010 24. 8 × 10−9 ALGEBRAIC For the following exercises, simplify the given expression. Write answers with positive exponents. aa 25. _ mn 26. _ 29. ab 2 ÷ d−3 30. ( w0x5) 31. ___ p−4q2 p q 34. (l × w)2 35. ( y7) ÷ x 14 3 2 2 a m−2 33. _ 2 −3 37. 52m ÷ 50m 3 41. ( b c) −3 m4 n0 −1 16√ x 38. _ −1 y 2 42. ( x y ÷ y0) −5 y 28. x _ −3 2 2 32. y−4( y2) 3 — 2 2 13 2 27. (b c ) 3 4 2 (3a)−2 3 39. _____ a 2 36. __ 2 3 2 1 ma 40.