问题 解答题
(1)求值:(2
1
4
)
1
2
-(-2008)0-(3
3
8
)
-
2
3
+(
3
2
)
-2

(2) 求值:(lg5)2+lg2×lg50.
答案

(1)(2

1
4
)
1
2
-(-2008)0-(3
3
8
)
-
2
3
+(
3
2
)
-2

=(

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

=

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

=

1
2
-
4
9
+
4
9

=

1
2

(2)(lg5)2+lg2×lg50=(lg5)2+lg2×(lg5+1)

=(lg5)2+lg2×lg5+lg2

=(lg5+lg2)×lg5+lg2

=1×lg5+lg2

=1.

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