Question

(5

1

16

)0.5+（-1）^-1÷（0.75）^-2+(2

10

27

)-

2

3

=

9

4

．

Answer 1

分析：根據(jù)分?jǐn)?shù)指數(shù)冪的運(yùn)算法則進(jìn)行求解即可．

解答：解：(5

1

16

)0.5+（-1）^-1÷（0.75）^-2+(2

10

27

)-

2

3

=(

81

16

)0.5-1÷(

3

4

)-2+(

64

27

)-

2

3

=

9

4

-1÷

16

9

+(

4

3

)3×(-

2

3

)
=

9

4

-

9

16

+

9

16

=

9

4

．
故答案為：

9

4

．

點(diǎn)評(píng)：本題主要考查分?jǐn)?shù)指數(shù)冪的運(yùn)算，利用分?jǐn)?shù)指數(shù)冪的運(yùn)算法則是解決此類問題的基本方法．