Question

化簡

a • 4 a5

4 a3

-10lg1-log5

3 25

5

+(

27 8

)-

2

3

=

a+1

．

Answer 1

分析：利用有理數(shù)指數(shù)冪的運(yùn)算性質(zhì)和運(yùn)算法則，把

a • 4 a5

4 a3

-10lg1-log5

3 25

5

+(

27 8

)-

2

3

等價(jià)轉(zhuǎn)化為a

1

2

+

5

4

-

3

4

-0-log55-

1

3

+[(

27

8

)

1

2

]-

2

3

，由此能求出結(jié)果．

解答：解：

a • 4 a5

4 a3

-10lg1-log5

3 25

5

+(

27 8

)-

2

3

=a

1

2

+

5

4

-

3

4

-0-log55-

1

3

+[(

27

8

)

1

2

]-

2

3

=a+

1

3

+(

2

3

)3×

1

3

=a+1．
故答案為：a+1．

點(diǎn)評(píng)：本題考查有理數(shù)指數(shù)冪的運(yùn)算性質(zhì)和運(yùn)算法則，是基礎(chǔ)題．解題時(shí)要認(rèn)真審題，仔細(xì)解答．