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(1)计算:0.25×(−12)−4−4÷(5−1)0−(116)−12;(2)计算:(169)−12+100(12lg9−lg2)+ln4e3+(log98)•(log433).

题目详情
(1)计算:0.25×(−
1
2
)−4−4÷(
5
−1)0−(
1
16
)
1
2

(2)计算:(
16
9
)
1
2
+100(
1
2
lg9−lg2)+ln
4e3
+(log98)•(log4
33
).
▼优质解答
答案和解析
(1)原式=2−2×(2−1)−4−4÷1−(2−4)
1
2
=2-2+4-4-22=4-4-4=-4;
(2)原式=[(
3
4
)−2]
1
2
+102(
1
2
lg32−lg2)+lne
3
4
+
lg8
lg9
×
lg3
1
3
lg4
=
3
4
+10lg(
3
2
)2+
3
4
+
3lg2
2lg3
×
1
3
lg3
2lg2
=
3
4
+
9
4
+
3
4
+
1
4
=
16
4
=4.