问题 解答题
求值:
(1)(lg5)2+lg2•lg50;
(2)(2
1
4
)
1
2
-(-9.6)0-(3
3
8
)-
2
3
+(1.5)-2
答案

(1)(lg5)2+lg2•lg50

=(lg5)2+lg2•(lg5+1)

=(lg5)2+lg2•lg5+lg2

=lg5(lg5+lg2)+lg2

=lg5+lg2

=1.

(2)(2

1
4
)
1
2
-(-9.6)0-(3
3
8
)-
2
3
+(1.5)-2

=(

9
4
)
1
2
-1-(
27
8
)
-
2
3
+(
2
3
)
2

=

3
2
-1-(
2
3
)
2
+(
2
3
)
2

=

1
2

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