Question

[(3

3

8

)-

2

3

(5

4

9

)0.5+(0.008)-

2

3

÷(0.02)-

1

2

×(0.32)

1

2

]÷0.06250.25=

 

．

Answer 1

分析：將帶分?jǐn)?shù)華為假分?jǐn)?shù)；將小數(shù)化為分?jǐn)?shù)；利用分?jǐn)?shù)指數(shù)冪的運(yùn)算法則化簡(jiǎn)式子，求出值

解答：解：[(3

3

8

)-

2

3

(5

4

9

)0.5+(0.008)-

2

3

÷(0.02)-

1

2

×(0.32)

1

2

]÷0.06250.25
=[(

27

8

)-

2

3

(

49

9

)0.5+(

8

1000

)-

2

3

÷(

0.32

0.02

)

1

2

]÷(

625

10000

)

1

4

=(

4

9

×

7

3

+25÷4)÷

1

2

=

2

9

故答案為

2

9

點(diǎn)評(píng)：本題考查化簡(jiǎn)分?jǐn)?shù)指數(shù)冪時(shí)先將帶分?jǐn)?shù)化為假分?jǐn)?shù)、小數(shù)化為分?jǐn)?shù)、負(fù)指數(shù)化為正指數(shù)、利用冪的運(yùn)算法則化簡(jiǎn)．