Question

計(jì)算：(0.0081)-

1

4

-(-

2

3

)0+log425+log8

4

125

=

3

．

Answer 1

分析：把0.0081寫(xiě)為0.3⁴，運(yùn)用指數(shù)式運(yùn)算性質(zhì)化簡(jiǎn)，后面的兩個(gè)對(duì)數(shù)式化為以2為底數(shù)的對(duì)數(shù)，整理后即可得到答案．

解答：解：(0.0081)-

1

4

-(-

2

3

)0+log425+log8

4

125

=[(0.3)4]-

1

4

-1+log25+

1

3

(log24-log2125)
=

10

3

-1+log25+

2

3

-log25=3．
故答案為3．

點(diǎn)評(píng)：本題考查了指數(shù)式和對(duì)數(shù)式的運(yùn)算性質(zhì)，解答此題的關(guān)鍵是熟記有關(guān)性質(zhì)，此題是基礎(chǔ)題．