6.1同底数幂的乘法正确理解同底数幂的乘法性质,并能运用它进行计算.一、填空题1.102·107=_____;a·a3·a4=_____;xn+1·xn-1=_____.2.-b(-b)(-b)2=_____;-a2·(-a)2·(-a)3=_____.3.x3·x·_____=x5;x4n·_____=x6n;(-y)2·_____=y4.4.若ax=2,ay=3,则ax+y=_____.5.(x+y)(x+y)3·(x+y)m=_____.6.x·_____=-x7;(-a4)·a3=_____;(-a)4·a3=_____;-a4·an-1=_____.7.x3·_____=x5·_____=x12;x2m=xm+4·_____.8.(a-b)·(b-a)2m·(b-a)3=_____;xn+1·_____=x2·_____=xn+m+1二、选择题9.下面计算正确的是()A.x4·x4=x16B.-x2·(-x)3=x5C.a2·a2=2a2D.a2+a3=a510.下面计算错误的是()A.a4+2a4=3a4B.x2·x·(-x)3=-x6C.a2+a2=a4D.(-x)·(-x)3=x411.在①a2n·an=a3n;②22·33=65;③32·32=81;④a2·a3=5a;⑤(-a)2(-a)3=a5中,计算正确的式子有()A.4个B.3个C.2个D.1个12.计算xn(-x)n的正确结果是()A.-x2nB.(-1)n·x2nC.x2nD.-2x2n三、解答题13.a5·a10·a414.x2n·(-x)3·xn15.(-a)4·(-a)3·(-a)2·(-a)2/2
16.210·23+4×21117.3·(-3)2m+(-3)2m+118.y·yn+1-2yn·y219.(-x4)(-x)4+(-x)3·(-x4)·(-x)20.2x10+x8·x2-x·x3·x621.64×4m-1×4m+122.(x+y)2m-1·(x+y)2(n-1)·(x+y)3+(x+y)2(m+n)23.已知a2·a4·am=a14,求m的值.24.卫星绕地球运动的速度(即第一宇宙速度)是7.9×103米/秒,求卫星绕地球运行2×102秒走过的路程.*25.若2x+5y=4,求4x·32y的值.参考答案一、1.109a8x2n2.b4a73.xx2ny24.65.(x+y)4+m6.-x6-a7a7-an+37.x9x7xm-48.-(a-b)2m+4xmxn+m-1二、9.B10.C11.C12.B三、13.a1914.-x3n+315.a1016.21417.018.-yn+219.-2x820.2x1021.42m+322.2(x+y)2m+2n23.m=824.1.58×106米*25.162/2