Algebra 1 Common Core Student Edition, Grade 8-9

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45. 
    
    
    
    47. b 31 49. 53 should be 125. 51. Each factor
        should be raised to the fourth power and simplified.
    
    
    48. The base d should only appear once.
        55a. about 1636 h b. about 31 h 57. dividing powers
        with the same base, definition of negative exponent
    
    
    49. raising a power to a power, dividing powers with the
        same base, definition of negative exponent ,.10 61.16m8
    
    
    50. a 4 65. 4j 67. ^ 69. Answers may vary. Samples
        are given.
        I. 3 V 3. f - 2 ' ' 3
    
    
    
    

'•w

(V!

33

27

-3 3-3

III.

(?)"

(x2

3V

V5

v

33

x_

' 27

2 13

3

Rewrite using the reciprocal.

Raise th e n u m era to r and

denominator to the third

power.

Simplify.

Raise a q u o tie n t to a pow er

rule

Power to a power rule

Definition of negative

exponent

Simplify.

Rewrite using the reciprocal.

Definition of an exponent

71 JL9y'

_ xi

27

6 ~)

73. 5775.

Simplify.

1/6

(^77) 79. about 3^ m

81. x = 7 and y = 4; use the two given expressions to
    find the system of equations, x - y = 3 and
    x - 3y = - 5. Solve the system to find the values
    ofxandy. 83. 85. 87a. a~n b. ^
    c. Since 0 equals both a~n and 4 , ada~n must equal
    which is the definition of a negative exponent.
    89. n4x 91. ~ 93. About 1.6 X 10 6 g/m 3 95. H
    97. The domain is 0 < b < 8 because you can use
    between 0 and 8 bags. The range is 0 < A(b) < 9600
    because >4(0) = 0 and >4(8) = 9600.


82. 8 m2 99. ~ 100. 2c? 101. 9n 102.,15
    106. no solution
    108. yi
    1
    ••
    / X
    — 0
    /
    /
    /
    e;
    1 J
    109. >1 y
    v
    \ X
    0

1

Lesson 7-5 pp. 448-452

Go t It? 1a. 3 b. 2 c. 4 d.^6 2a. tya* b.^5

c. 9*^2)^ 3a. SJ b. 12x? c. 32yl d. 256a2 4. about

1868.1 Calories per day

Lesso n Ch eck 1.2 2.3 3.625 4.x? 5.Vc 6aVcP

7. 2 y< 8. Sample answer: The exponent | needs to be
   applied to both 27 andy. Therefore the radical should be
   written as V'(27y)2and then simplified to

896