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青岛版数学七年级下册课时练习11.1《同底数幂的乘法》一、选择题1.x·x6·()=x12,括号内填()A.x6B.x2C.x5D.x2.计算(﹣a)2•a3的结果是()A.a5B.a6C.﹣a5D.﹣a63.下列各式中,计算过程正
确的是()A.x3+x3=x3+3=x6B.x3·x3=2x3=x6C.x·x3·x5=x0+3+5=x8D.x·(-x)3=-x2+3=x54.若xm-5·x2n-x6=0,则m、n的关系是()A.m-n=6B.2m+n=5C.m+2n=11D.m-2n=75.如果a2n﹣1an+5=
a16,那么n的值为()A.3B.4C.5D.66.若xm-5x2n-x6=0,则m、n的关系是()A.m-n=6B.2m+n=5C.m+2n=11D.m-2n=77.若m·23=26,则m等于()A.2B.4C.6D.88.式子a2m+3不能写成()A.a2m·a3B.
am·am+3C.a2m+3D.am+1·am+29.计算(-2)100+(-2)101的结果是()A.-2B.2C.-2100D.210010.若(am+1bn+2)(a2n-1b2m)=a5b3,则m+n的结果是()A.
1B.2C.3D.-3二、填空题11.计算:(-x)·(-x)3=______;(-b)2·b2=______;(x-y)·(y-x)2·(x-y)3=_____.12.当m=_____时,xm-2·xm+3=x9成立.13.若10x=a,10y=b
,则10x+y=_______.14.若3x+2=36,则12·3x=______.15.计算:a3·a7=_______,-x2·x3=______,22·42·82=______16.已知4×2a×2
a+1=29,且2a+b=8,求ab=.三、解答题17.计算:(1)a·a9;(2)x3n·x2n-2;(3)(-12)2×(-12)3.18.计算:(1)-x2·(-x)4·(-x)3;(2)(m-n)·(n-m)3·(n-m)4.19.已知4x=8,4y=32,求x+y的值.20.已知
4×2a×2a+1=29,且2a+b=8,求ab的值.21.规定a⊙b=2a×2b;(1)求2⊙3;(2)若2⊙(x+1)=16,求x的值.22.已知(a+b)a·(b+a)b=(a+b)5,且(a-b)a+4·(a-b)4-b=(a-b)7,求aabb的值.参考答案1.C2.A3.D
4.B5.B6.B7.D8.C9.C10.B11.答案为:x4;b4;(x-y)6;12.答案为:413.答案为:ab14.答案为:2.15.答案为:a10;-x5;21216.答案为:9.17.解:(1
)a10.(2)x5n-2.(3)-125.18.解:(1)x9.(2)-(n-m)8.19.解:4x·4y=8×32=256=44,而4x·4y=4x+y,∴x+y=4.20.解:由题意得,2a+3=9,解得:a=3,则b=8﹣2a=8﹣6=2,ab=9.21.(1)32;(2)x
=1;22.解:∵(a+b)a·(b+a)b=(a+b)5,(a-b)a+4·(a-b)4-b=(a-b)7,∴a+b=5,a+4+4-b=7.解得a=2,b=3.∴aabb=22×33=108.