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苏科版数学七年级下册课时练习8.3《同底数幂的除法》一、选择题1.计算a6÷a3,正确的结果是()A.2B.3aC.a2D.a32.下列运算正确的是()A.x2+x2=x4B.a2•a3=a5C.(3x)2=6x2D.
(mn)5÷(mn)=mn43.下列计算正确的是()A.x6•x2=x12B.x6÷x2=x3C.(x2)3=x5D.(xy)5=x5y54.下列各运算中,计算正确的是()A.a2+2a2=3a4B.b10÷b2=b5C.(m﹣
n)2=m2﹣n2D.(﹣2x2)3=﹣8x65.下列运算正确的是()A.x2+x3=x5B.(﹣x2)3=x6C.x6÷x2=x3D.﹣2x•x2=﹣2x36.若3x=15,3y=5,则3x﹣y等于()A.5B
.3C.15D.107.计算106×(102)3÷104的结果是()A.103B.107C.108D.1098.下列计算正确的是()A,a3•a=a3B.(2a+b)2=4a2+b2C.a8b÷a2=a4bD.(﹣3
ab3)2=9a2b69.已知xa=2,xb=3,则x3a﹣2b等于()A.89B.﹣1C.17D.7210.计算x5m+3n+1÷(xn)2•(﹣xm)2的结果是()A.﹣x7m+n+1B.x7m+n+1C.x7m﹣n+1D.x3m
+n+1二、填空题11.若am=2,an=3,则am+n=________,am-n=__________.12.计算:(x-y)3÷(y-x)2=.13.计算:(x2)3÷x5=_______.14.若xm=8,xn=2,则xm-2n的值为.15.已知10m
=2,10n=3,则103m+2n=.16.若2x﹣5y﹣3=0,则4x÷32y的值为__________.三、解答题17.计算:2x2•3x4﹣(﹣2x3)2﹣x8÷x2.18.计算:(x3)2÷x2÷x+x3•(﹣x)2•(﹣x2)19.已知a2n=3
,a3m=5,求a6n-9m的值。20.若xm=9,xn=6,xk=4,求xm-2n+2k的值.21.先化简,再求值:(x+2y)(x﹣2y)+(20xy3﹣8x2y2)÷4xy,其中x=2028,y=2029.22.已知:5a=4,5b=6,5c=9,(1)求52a+c﹣
b的值;(2)试说明:2b=a+c.答案1.D2.D3.D4.D5.D6.B7.C8.D9.A10.B11.答案为:6;23.12.答案为:x-y13答案为:x14.答案为:215.答案为:72.16.答案为:
8.17.解:原式=6x6﹣4x6﹣x6=x6.18.解:原式=x6÷x2÷x﹣x3•x2•x2=x6﹣2﹣1﹣x3+2+2=x3﹣x7.19.解:原式=27/125.20.解:原式=4.21.解:原式=x2﹣4y2+
5y2﹣2xy=x2﹣2xy+y2,=(x﹣y)2,当x=2028,y=2029时,原式=(2028﹣2029)2=(﹣1)2=1.22.解:(1)52a+b=52a×5c÷5b=(5a)2×5c÷5b=42×
9÷6=24;(2)∵5a+c=5a×5c=4×9=3652b=62=36,∴5a+c=52b,∴a+c=2b.