earE 对于任意底数a与任意正整数m,n,(a")"=? 个am 个m (am)n =am. am.am=am+m+.+m=am (乘方的意义)(同底数幂的乘法法则 7)n nn C (m,n都是正整数) 幂的乘方,底数不变,指数相乘
( ) = ? m n 对于任意底数a与任意正整数m,n, a (乘方的意义) (同底数幂的乘法法则) m n mn (a ) = a (m,n都是正整数). 幂的乘方,底数 不变 ,指数 相乘 . =am·am…·am=am+m+…+m=amn n个am n 个m (a m) n
参例2:计算 (1)(103 (2)(a4)+ (3)(am);(4)-(x4)3 解:(1)(103)5=103X5=1015 (2)(ar)4=a4x4=al6 (3)(am)2=am2=a2m; (4)-(x-)3=-x4x32=-x12
例2:计算: (1) (103 ) 5 ; (2) (a 4 ) 4 ; (3) (a m) 2 ; (4) -(x 4 ) 3 . 解: (1) (103 ) 5=103Χ5 = 1015 ; (2) (a 4 ) 4=a 4Χ4=a 16; (3) (a m) 2= a mΧ 2 = a 2m ; (4) -(x 4 ) 3 = - x 4Χ3 = - x 12
earE 计算 (1)(103)3 (2)(x3)2 (3)-(xmn) d (5)t(y 6)[(a-b)3
计算: (1) (103 ) 3 ; (2) (x 3 ) 2 ; (3) - ( x m ) 5 ; (4) (a 2 ) 3 ∙ a 5; ⑸ 2 3 − ( y ) ⑹ 3 4 [(a −b) ]