Name
Date
Class
Practice 8-4
More Multiplication Properties of Exponents
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Simplify each expression.
t.
(+as)3
2. p-zy
3. (m-3n41-a
q.
@s)2
s. zs .
6. 1+xa131zxy312
7.
x4
-
8.
1x413
12412
9.
1xsy3131xys12
6\2
,
10. 647-s . orz
11. (3fag-3)3ff2s-\-r
B. g\-+
't
16. (L2b-\2
fi. 6-s1-z
18. (x-a)s1*312;
E- ro\-t ' rzr
20. n6 .@-z;
21. (ms141*ansy
22. (a3)6
23. b-e .@\4
24.
25. (sa3usla
26. 1u-zY
27. (v6)3
2g. a-a .(aa6zf
29.
30. a?
+.
1a3 U41-z
g-3 6*
12. x3
s1- a
1x3f
15. (*2v)a
(xay)3
g-L'1-z
.(&)t
Simplify. Write each answer in scientific notation.
31. 1o-e . 1z x
32. (3
t0212
tos)4
38. (2 x to-3)3
39. (5
40. (3 x
tos)4
41. (4 x to8)-3
42.
x roz;-:
(1 x ro-s;-s
44. Oo\3$ x ro-3)3
45.
loT.exto\4
107)3
x
ro3;s
36. 1z
The kinetic energyr in joules, of a moving object is found by using the
formula 5 : l*r2,where m is the mass and v is the speed of the
object. The mass of a car is 1.59 x 103 kg. The car is traveling at
2.7 x 101 m/s. What is the kinetic energy of the car?
47.
The moon is shaped somewhat like a sphere. The surface area of the
moon is found by using the formula S : 12.56?. What is the surface
area of the moon if the radius is 1.08 x 103 mi?
48.
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
.9
,o(EJ
IJJ
1z
46.
c
,oEa
106)3
37. (s x
.s)
E
rc4.@ x
35. 1o-3 .
(rt
d
33.
to7)2
43. 1os.(8 x
t
to-6)3
34. (s x
E
o
o
o
o
x
(U
-(Lo
-@
the radius of the pile is 1.2
the volume.
49.
x
102
ft. Use the formula
i :
x
ros;3
lnrzlrto flnd
Suppose the distance in feet that an object travels in r seconds is
given Uy the fo.rmula
d
:
64?.How fai would the object travel
after 1.5 X l0r seconds?
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Algebra / Chapter 8
Lesson 8-4 Practice