- a. Use the property for dividing powers with the same base to write ^ as a
power of a.
b. Use the definition of a zero exponent to simplifya0
c. Reaso ni ng Explain how your results from parts (a) and (b) justify the definition
of a negative exponent.
Ch al l en g e Simplify each expression.
t n \ Q H)
88. nx+2 ^ nx 89. n5x - nx 9o- (D 91. H /
mz- Reasoning Use the division property of exponents to show why 0° is undefined.
- Astronomy The density of an object is the ratio of its mass to its volume. Neptune
has a mass of 1.02 X 10 26 kg. The radius of Neptune is 2.48 X 10 4 km. What is the
density of Neptune in grams per cubic meter? (Hint: V = 17 rr3)
^SAT/ACT
St an d ar d i zed Test Pr ep
- Which expression is equivalent to
CD 2 x 2 CJD 32x2
Sh o r t
, R e s p o n s e(2x)5CD 2 x CO 32x- Which equation is an equation of the line that contains the point ( 8 , —3) and is
perpendicular to the line y = — 4x + 5?
C O y = -\x -1 CO y =! * + t CO y = \x-5 CD y = 4x - 35 - What is the solution of the system of equations y = — 3x + 5 and y = —4x — 1?
(0(23,6) CD ( 6 , 23) C O ( - 6 , 23) C D ( - 6 , -2 3 ) - You have 8 bags of grass seed. Each bag covers 1200 ft 2 of ground. The function
A(b) = 1200b represents the area A(b), in square feet, that b bags cover. What
domain and range are reasonable for the function? Explain.
Mixed Review
Simplify each expression.- (2ml)3 99. 2(3s“2)“3
Solve each system by graphing.- (43c2)!
- y = 3x
y= - 2 x - y = 2x + 1
y = x - 3 - y = 5
x = 3
Get Read y! To p r e p a r e f o r Lesso n 7 - 5 , d o Ex e r c i se s 1 0 7 - 1 1 0.Graph each function.- y = 4x 108. y = 5x 109. y=-3x
4(2 See Lesson 7-3.- (—3) 2 (r?)2 102. (7°n_ 3 ) 2 (n7) 3
Se e Le sso n 6- 1.- y = 7
y = 8
Se e Le sso n 4- 4.- y = 1.5x
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Po w erAlg eb ra.com | Lesso n 7- 4 Division Properties of Exponents^445