问题 解答题
求值:
(Ⅰ)(2
1
4
)
1
2
-(-7.8)0-(3
3
8
)
2
3
+(
2
3
)-2

(Ⅱ)log9
427
3
+lg20+log10025+5log52
答案

(Ⅰ)(2

1
4
)
1
2
-(-7.8)0-(3
3
8
)
2
3
+(
2
3
)-2

=(

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

=

3
2
-1-[(
3
2
)3]
2
3
+
9
4

=

1
2
-
9
4
+
9
4

=

1
2

(Ⅱ)log9

427
3
+lg20+log10025+5log52

=log93-

1
4
+1+lg2+log10252+2

=log323-

1
4
+1+lg2+log105+2

=

1
2
×(-
1
4
)+1+lg2+1-lg2+2

=-

1
8
+4=
31
8

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