计算: (1)lg25+lg2lg50+(lg2)2 (2)81/3+(1/2)−2+(27-1+16-2)0+416.

问题描述:

计算:
(1)lg25+lg2lg50+(lg2)2
(2)8

1
3
+(
1
2
)−2
+(27-1+16-20+
4 16

(1)原式=2lg5+lg2(1+lg5)+lg22=2lg5+lg2+lg2(lg5+lg2)=2(lg5+lg2)=2.
(2)原式=(23)

1
3
+(2-1-2+1+2=2+2+3=7.