(ab)^c=(a^c)*(b^c)怎么证明?

2025-06-26 13:28:24
推荐回答(1个)
回答1:

证明:(ab)^c
=(ab)(ab)……(ab) [共有C个(ab)相乘]
=(a×a×……×a)(b×b×……×b) [共有C个a相乘、C个b相乘]
=(a^c)×(b^c)