化简下列各式: (1)[(0.0641/5)−2.5]2/3−333/8−π0; (2)2lg2+lg3/1+1/2lg0.36+1/4lg16.
问题描述:
化简下列各式:
(1)[(0.064
)−2.5]1 5
−2 3
−π0;
3
3
3 8
(2)
. 2lg2+lg3 1+
lg0.36+1 2
lg161 4
答
(1)原式={[(641000)15]−52} 23−(278)13−1(2分)=[(410)3]15×(−52)×23−[(32)3]13−1(4分)=52−32−1(6分)=0(7分)(2)原式=2lg2+lg31+12lg0.62+14lg24=2lg2+lg31+lg2×310+lg2(4分)=2lg2+lg31...