Practice ? b a (-a) b a b (3a)

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1 Practice 8- Zero and Negative Exponents ? ? ? (-6) (3.7) (-9) (-.9) ? Evaluate each expression for a 2 and b b a (-a) b a b (3a) (-b) a - b a -2 b a -2 b (3ab) x xy a -5 b 0. m 2 n x 27 a 2 d 23 r 25 s x -6 y a -3 b 2 c s -9 t p -5 q -3 r 2 9. d m m 28 n 52. a 22 b 2 e 27 n 28 cd 23 p 2 Write each number as a power of 0 using a negative exponent ,000,000,000 0,000,000 Write each expression as a decimal ? ? 0 - Evaluate each expression for m, n 5, and p m p 62. n m 63. p p 6. n p 65. m p n 66. m -n 67. p -n 68. mn p 69. p -m 70. m n -m n p n 2m,000,000,000 2 Lesson 8- Practice Algebra Chapter 8

2 Practice 8-2 Scientific Notation Write each number in standard notation Write each number in scientific notation. 7. 5,000, ,000,000, billion million thousandths millionths thousand hundredths ,000,900,000,000 Order the numbers in each list from least to greatest ,6 0-8,5 0-6, ,.8 0-3, , ,00, , , ,5 0-3,8 0-2, 0 - Simplify. Write each answer using scientific notation. 37. (3 0 5 ) 38. 5(7 0-2 ) 39. 8(9 0 9 ) 0. 7(9 0 6 ). 3( ) 2. 2( ) 3. 3( ). 3( ) 5. 3( ) Complete the table Units of Area in Square Feet Unit Standard Form Scientific Notation in. 2 = link 2 = rod 2 = mi 2 = cm 2 = hectare = Algebra Chapter 8 Lesson 8-2 Practice 3

3 Practice 8-3 Multiplication Properties of Exponents. (3d - )(5d 8 ) 2. (-8m )(m 8 ) 3. n -6? n -9. a 3? a ? (3p -5 )(6p ) 7. p 7? q 5? p 6 8. (-.5a 5 b 2 )(6a) 9. (-2d 3 e 3 )(6d e 6 ) 0.. p 5? q 2? p 2. b 27? b 5 n 7? n (8d )(d 7 ). x -9? x 3? x ? r 7? s? s? r 3 7. b 7? b 3 8. (7p )(5p 9 ) ? 2-9? (6r s 3 )(9rs 2 ) 2. 3? m 2? m s 7? t? t 8 2. (-3xy 6 )(3.2x 5 y) ? h 7? h 3 t 25? t ƒ 5? ƒ 2? ƒ r 6? r ? 5 Write each answer in scientific notation. 3. (7 0 7 )(5 0-5 ) 32. (3 0 8 )(3 0 ) 33. ( )(2 0-5 ) 3. ( 0 9 )(. 0 8 ) 35. ( )(2 0-5 ) 36. (5 0 7 )( 0 3 ) 37. (6 0-6 )(5.2 0 ) 38. ( 0 6 )(9 0 8 ) 39. ( )(8 0 ) 0. ( )( 0-7 ). ( )(3 0 ) 2. (9 0 2 )( ) 3. ( 0 9 )( 0 3 ). (5 0 3 )(9 0-9 ) 5. (7 0 6 )( 0 9 ) 6. (6 0-8 )(2 0-7 ) 7. (6 0 5 )( ) 8. (5 0 8 )( ) 9. In 990, the St. Louis metropolitan area had an average of g/m 3 of pollutants in the air. How many grams of pollutants were there in m 3 of air? 50. Light travels approximately mi in one year. This distance is called a light-year. Suppose a star is 2 0 light-years away. How many miles away is that star? 5. The weight of m 3 of air is approximately g. Suppose that the volume of air inside of a building is m 3. How much does the air inside the building weigh? 52. Light travels in. in second. How far will light travel in nanosecond or 0-9 s? Lesson 8-3 Practice Algebra Chapter 8

4 Practice 8- More Multiplication Properties of Exponents. (a 5 ) 3 2. (2-3 ) 3. (m -3 n ) -. (x 5 ) ? (2 ) 2 6. (x ) 3 (2xy 3 ) 2 7. x? (x ) 3 8. (x 5 y 3 ) 3 (xy 5 ) 2 9. (5 2 ) 2 0. (a ) -5? a 3. (3ƒ g -3 ) 3 (ƒ 2 g -2 ) - 2. x 3? (x 3 ) 5 3. (d 2 ) -. (a 3 b ) -2 (a -3 b -5 ) - 5. (x 2 y) 6. (2b -2 ) 2 7. (m -5 ) (x - ) 5 (x 3 y 2 ) 5 9. (y 6 ) -3? y n 6? (n -2 ) 5 2. (m 5 ) -3 (m n 5 ) 22. (a 3 ) b -9? (b 2 ) 2. ( - s 3 ) (5a 3 b 5 ) 26. (b -3 ) (y 6 ) a -? (a b 3 ) (x y) d 3? (d 2 ) 5 Simplify. Write each answer in scientific notation ? (2 0 2 ) (3 0-6 ) ? ( 0 6 ) 3 3. (9 0 7 ) ? (2 0 3 ) (7 0 5 ) (5 0 5 ) 38. (2 0-3 ) (5 0 2 ) (3 0 5 ). ( 0 8 ) ( 0-5 ) ? (8 0 7 ) 3. (0 2 ) 3 (6 0-3 ) ? (2 0 2 ) 6. The kinetic energy, in joules, of a moving object is found by using the formula E = 2mv 2,where m is the mass and v is the speed of the object. The mass of a car is kg. The car is traveling at m/s. What is the kinetic energy of the car? 7. The moon is shaped somewhat like a sphere. The surface area of the moon is found by using the formula S = 2.56r 2.What is the surface area of the moon if the radius is mi? 8. Because of a record corn harvest, excess corn is stored on the ground in a pile. The pile is shaped like a cone. The height of the pile is 25 ft, and the radius of the pile is ft. Use the formula V 5 3 pr2 h to find the volume. 9. Suppose the distance in feet that an object travels in t seconds is given by the formula d = 6t 2. How far would the object travel after seconds? Algebra Chapter 8 Lesson 8- Practice 5

5 Practice 8-5 Division Properties of Exponents x 7 y 9 z a x3 y 22 2 c c 9 z 25 b x y 7 z a a a b 3 9. a 6 b a 7 b 6 2. a 22 b a 5 b a 5a0 b 2 z a b z 23 c 23 b 7. m 6 m 0 8. a 23 m n 2 p 2 b 0 9. a s2 t2 b a x23 y h xz 2 b h x 5 y a m23 n x 2 y 9 n 22 b n a r3 s 2 3. n r 2 s 6 b2 n n 5 b 2b a a2 b 3b5 a p23 q 22 q 23 r 5 b a a2 b 2 b 2 b 5 x y 28 z 22 x 2 y 6 z 20 a 2a3 b 22 c 3 b 5 a 3 b 3 a a8 b 6 a b5 m 8 n 3 m 0 n 5 Simplify each quotient. Write each answer in scientific notation billion million billion million million billion trillion billion The half-life of uranium-238 is years. The half-life of uranium-23 is years. How many times greater is the half-life of uranium-238 than that of uranium million 985 million 6 Lesson 8-5 Practice Algebra Chapter 8

6 Chapter 8 Answers Practice x 39. b 0. m x 8 y 3 a 5 n 9. x a 3. 5d 3. 6r 5 s b 2 x 6 y 5 a 3 c 2 6np r2 9. e n d 3 s 9 t p 5 q 3 d m m 8 a 2 bc Practice , , ,550, ,300, ,200, , ,6 0-8,7 0-7, ,.8 0-3, , , , , 62, ,5 0-3,8 0-2, ,878, ,800,000 Practice d m a n 5 p 7. p 3 q a 6 b d 7 e 9 0. b 2. p 9 q 2 2. n d. x r 0 s 5 7. b p r 5 s m s 7 t x 6 y t ƒ h 0 r g mi g in. Practice 8-. 6a m 2. x x y n 6 7. x 6 8. x 7 y f x a 6 b 2 5. x 8 y m 5 8. d 8 b 9. y mn a n b s a 2 b y a b x 2 y 3 b d J mi ft ft Practice 8-5 a 7 y 0 x 5. c 6 y 8 x 3 y a a x 2 z 20 z 5 b 5 b 8 q a a 2 b 5 2. a 0 p 2 r 20 b 2 b z b 8 c 6 x 6. z s 8 y m t a 5 2. x x 3 b 0 c 5 y 2 z 8 h y n b s 7 3. m 2 6 a 5 n 6 r n m 2 n times longer g 7 Algebra Chapter 8 Answers 39