问题 解答题
计算:
(1)(0.064)-
1
3
-(2
3
-1)0+[(-2)3]-
4
3
+16-0.75+
0.01

(2)(lg2)3+(lg5)3+3lg2lg5.
答案

(1)(0.064)-

1
3
-(2
3
-1)0+[(-2)3]-
4
3
+16-0.75+
0.01

=(0.4)-1-1+(-2)-4+2-3+0.1

=

5
2
-1+
1
16
+
1
8
+
1
10

=

143
80

(2)(lg2)3+(lg5)3+3lg2lg5

=(lg2+lg5)(lg22-lg2lg5+lg25)+3lg2lg5

=lg22+2lg2lg5+lg25

=(lg2+lg5)2

=1.

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