Question

計(jì)算
（1）(2

3

5

)0+2-2×(2

1

4

)

1

2

-4-0.5
（2）log2(47×22)-lg25-2lg2-log

3

1

27

．

Answer 1

分析：（1）由有理數(shù)指數(shù)冪的運(yùn)算性質(zhì)對(duì)(2

3

5

)0+2-2×(2

1

4

)

1

2

-4-0.5化簡(jiǎn)即可計(jì)算出答案；
（2）由對(duì)數(shù)的運(yùn)算性質(zhì)對(duì)log2(47×22)-lg25-2lg2-log

3

1

27

化簡(jiǎn)計(jì)算即可得出答案．

解答：解：（1）(2

3

5

)0+2-2×(2

1

4

)

1

2

-4-0.5=1+

1

22

×(

9

4

)

1

2

-

1

40.5

=1-

1

4

×

3

2

-

1

2

=

1

8

（2）log2(47×22)-lg25-2lg2-log

3

1

27

=log2216-(lg25+lg4)-

1

2

log33-3=16-2+

3

2

=

31

2

．

點(diǎn)評(píng)：本題考查指數(shù)的運(yùn)算性質(zhì)與對(duì)數(shù)的運(yùn)算性質(zhì)，熟練掌握指數(shù)與對(duì)數(shù)的運(yùn)算性質(zhì)是解題的關(guān)鍵