8^2005·0.125^2006=?0.5^4·2^6·0.125=?
问题描述:
8^2005·0.125^2006=?0.5^4·2^6·0.125=?
两道简便运算{注:运用与“积的乘方”有关的知识}
答
8^2005·0.125^2006=8^2005·0.125^2005*0.125=(8·0.125)^2005*0.125
=1^2005*0.125=0.125
0.5^4·2^6·0.125=(0.5^4·2^4)(2^2·0.125)
=(0.5*2)^4(4*0.125)=1^4*0.5=0.5