Question

計(jì)算（4x³y²z^-1）^-2•5（xy^-2z³）²的結(jié)果為

 

．

Answer 1

分析：根據(jù)積的乘方和冪的乘方運(yùn)算法則計(jì)算，再相乘．

解答：解：（4x³y²z^-1）^-2•5（xy^-2z³）²=

1

16

x^-6y^-4z²•5x²y^-4z⁶=

5

16

x^-4y^-8z⁸．
故答案為

5

16

x^-4y^-8z⁸．

點(diǎn)評：此題的實(shí)質(zhì)是考查冪的乘方與積的乘方、同底數(shù)冪的乘法運(yùn)算．