积的乘方专项练习50题有答案Word下载.docx
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3
(5)(-1.1xmy3m)2
(6)(-0.25)11×
411
(7)(-a2)2·
(-2a3)2(8)(-a3b6)2-(-a2b4)3
-1-
(9)-(-xmy)3·
(xyn+1)2
22
(10)2(ab)2+(ab)
(11)(-2x2y)3+8(x2)2·
(-x2)·
(-y3)
(12)(-2×
103)3
(13)(x2)n·
xm-n
(14)a2·
(-a)2·
(-2a2)3
(15)(-2a4)3+a6·
a6
(16)(2xy2)2-(-3xy2)2nnn
(17)0.256(32)2
(18)(x4)2(x2)4x(x2)2x3(x)3(x2)2(x);
-2-
(19)(-1a3nbm-1)2(4a3nb)2
(20)(-2a2b)3+8(a2)2·
(-a)2·
(-b)3
(21)22m1168m1(4m)8m(m为正整数)
(22)(-3a2)3·
a3+(-4a)2·
a7-(5a3)3
(23)3a2b2(ab)2
(24)(a3)2(a2)3
-3-
(25)[(-2)8×
(3)8]7
32
(26)81999·
(0.125)2000
(27)(2ab)(
1
ab
(28)(3a3)2a3(5a3)3
(29)[(2x2)3]2
(30)
(1)9(8)98
-4-
(31)(5)2009(23)2010
135
(32)(2102)2(3103)3.
(33)a4(3a3)2(4a5)2
(34)(a4b2)3(a2b3)2
(35)(2
)20·
)21.
1)10?
(1098
21)10
.
7
10
9
8
)已知2a
3,3a
4,求
6
a
37
-5-
(38)(a3ax)ya20,当x2时,求y的值.
(39)化简求值:
(-3a2b)3-8(a2)2·
(-b)2·
(-a2b),其中a=1,b=-1.
(40)先完成以下填空:
(1)26×
56=()6=10()
(2)410×
2510=()10=10()
你能借鉴以上方法计算下列各题吗?
(3)(-8)10×
0.12510
(4)0.252007×
42006
(5)(-9)5·
(-2)5·
(1)5
33
(41)已知xn=2,yn=3,求(x2y)2n的值.
(42)一个立方体棱长为2×
103厘米,求它的表面积(结果用科学记数法表示).
-6-
(43)已知2m=3,2n=22,则22m+n的值是多少
3的值
4,求a
(44)已知9a2
(45).已知105,10
的值
,求10
(46)已知:
x
n
5
y
3求(xy)
2n
求(x
n-x2n的值。
(47)已知x=5,y
=3,
y)
(48)若有理数a,b,c满足(a-1)2+|c+1|+|b|=0,试求a3n+1b3n+2-c4n+2
-7-
(49)比较大小:
218×
310与210×
318
(50)观察下列等式:
13=12;
13+23=32;
13+23+33=62;
13+23+33+43=102;
(1)请你写出第5个式子:
______________
(2)请你写出第10个式子:
_____________
(3)你能用字母表示所发现的规律吗?
试一试!
-8-
答案:
1.anbn2.积的乘方法则,幂的乘方法则
3.
(1)a3b6
(2)9c2d2
(3)-8b6
(4)16b4?
(6)-
27
(7)(a-b)
(8)4(a+b)
(5)-9ab
ab
(1)25a2b2
(3)-64a3b6c9
(5)1.21x2my6m
(7)4a10
(9)x3m2y2n5
(11)7x6y3
(13)xm+n
(15)-7a12
(17)1
(19)a124nb2m
(21)0
(23)-2a2b2
(25)1
(27)-2a8b7
(29)64x12
(2)-9x4y4
186
(4)xy
(6)-1
(8)2a6b12
(10)3a2nb2n
(12)-8×
109
(14)-8a10
(16)-5x2y4
(18)0
(20)-16a16b3
(22)-136a9
(24)0
(26)0.125
(28)4a9
(30)1
-9-
(31)13
(32)1.08×
10
13
(33)-7a10
(34)a16b12
(36)1
(35)
(37)6a=(2×
3)a=2a×
3a=3×
4=12
(38)
3y+xy=20
当x=2时,3y+2y=20Y=4
(39)
原式=-19a6b3=19
(40)
(1)2×
5,6
(2)4×
25,20(3)1(4)0.25(5)32
(41)(x2y)2n=x4ny2n=(xn)4(yn)2=24×
32=144
=2.4×
107厘米2
(42)6×
(2×
103)
2m+n
m
22
(43)2
=
(2)
=36
(44)左边=(32a2)3
(1)8=36a6
(1)8=1a6
339
1a6=4
(a
3)2
=6或-6
(45)1023
=(10a)2
(10b)3=52×
63=5400
(46)提示:
(xy)2n=[(xy)n]2=(xn·
yn)2=(5×
4)2=400.
-10-
47)(x
n-x
2n=x2nyn-x2n=52×
3-52=50
(48)a=1
b=0c=-1
a3n+1b3n+2-c4n+2
3n+1
3n+2
4n+2
=1
×
0
--1
=
-1
(49)
18
=2×
310×
28
2×
310
38
218×
310<
210×
318
(50)113+23+33+43+53=152
213+23+?
+103=552
313+23++n3=[n(n1)]2
-11-