内容正文:
第十四章 整式的乘法与因式分解
14.1.1 同底数幂的乘法
知识点1 同底数幂的乘法运算
同底数幂相乘,底数 ,指数 。即
例1:(简单运用)(1)103×102=______ (2)a·a³=______ (3)______
变式:
1.计算: = ; ________; x·x2 = ;
a • a3•a5 = ; _______; m4·m5=_______
2.计算:
(1)32×36=_______ (2) a2·a5·a8=_______
(3)a4·a2=_______ (4)x6·x3=_________
(5)x·x2=_______ (6)y5·y2=________
(7)x·x3·x5=_______ (8) 104·10·102=______
(9)22×23=______ (10)103×105×104=______
(11)t·t2·t3=______ (12) a3·a4·a5=______
(13)
例2:(负号的处理)计算: (1) = ;
(2) -x2·(-x)4·(-x)3= .
变式:
1.计算:(1) (-2)2×(-2)5=________; (2) (-3)4×(-3)2=_______
(3) (-a)2·(-a)4=_______; (4) (-a)·(-a)3= ;
(5) (-a)4·a3= ; (6) = ________;
(7)-________; (8) ________;
(9) ________; (10) a4·(-a3) ________.
例3:(指数含参问题) (1)a4·an-1 =_______; (2) an+1·a2 ·an=_______.
变式:
(1)xn+1·x =_______; (2)an·a2 =______