1、12.1 幂的运算,旧知重现:,同底数幂的乘法则:_ 符号叙述_. 同底数幂的乘法法则的推导过程:,底数不变,指数相加,am.an=am+n,大显身手:,计算下列各式,并说明理由(mn),(1)25 22 =_= 2( ) ; (2)107 103 =_= 10( ); (3)a7 a3 =_= a( );,解 题 思 路,解:(根据幂的定义),(1) 25 23 =,=25-2,=23,解:(根据幂的定义),(2) 107 10 3 =,=107-3,=104,解 题 思 路,解:(根据幂的定义),(3) a7 a3 =,幂的除法的一般规律,am a n =,总结规律,=am-n,am a
2、n = (a 0,m,n都是正整数,且mn),am- n,同底数幂相除,底数_,指数_.,不变,相减,知识训练,错误,应等于a6-1 = a5,错误,应等于b6-3 = b3,正确,错误,应等于(-bc )4-2= (-bc)2 = b2 c2,计算:,a7-4 = a3,(-x)6-3 = (-x)3 = -x3,(xy)4-1 = (xy)3 = x3y3,b2m+2-2 = b2m,213-7 = 26 = 64,a11-5 = a6,(-x)7-1 =(-x)6 = x6,(-ab)5-2= (-ab)3 = -a3b3,62m+1-m= 6m+1,课外拓展 计算:,(1) (a-b)7 (b-a)3 =_.,-(a-b)4,(2)若xm=6,xn=2, 则xm-n =_,x2m-n =_.,3,6,思考探索交流 若ax= 3 , ay= 5, 求:(1) ax-y的值?(2) a3x-2y的值?,小结,同底数幂相除:底数不变,指数相减.,作业,习题,