Question

計(jì)算：(0.0081)-

1

4

-10×0.027

1

3

+lg

1

4

-lg25

 

．

Answer 1

分析：根據(jù)根式與分?jǐn)?shù)指數(shù)冪的互化及其化簡(jiǎn)運(yùn)算法則，及對(duì)數(shù)運(yùn)算法則，我們將原式中前兩項(xiàng)化為根式的形式，后兩項(xiàng)用同底數(shù)對(duì)數(shù)運(yùn)算關(guān)系式，化為一項(xiàng)，進(jìn)而求出答案．

解答：解：(0.0081)-

1

4

-10×0.027

1

3

+lg

1

4

-lg25
=

1

4 0.0081

 -10×

3	0.027

+lg(

1

4

÷25)
=

1

0.3

 -10×0.3+lg(0.01)
=

10

3

-3-2
=-

5

3

故答案為：-

5

3

．

點(diǎn)評(píng)：本題考查的知識(shí)點(diǎn)是根據(jù)根式與分?jǐn)?shù)指數(shù)冪的互化及其化簡(jiǎn)運(yùn)算，對(duì)數(shù)運(yùn)算性質(zhì)，熟練掌握指數(shù)和對(duì)數(shù)的運(yùn)算性質(zhì)是解答本題的關(guān)鍵．