Question

计算：（Ⅰ）(214)32+0.2?2?π0+(12

计算：（Ⅰ）(214)32+0.2?2?π0+(127)? 13；（Ⅱ）log3(9×272)+log26?log 23+log43×log316．

Answer 1

（Ⅰ）(2

1

4

)

3

2

+0.2?2?π0+(

1

27

)?  

1

3

=[(

3

2

)2]

3

2

+(

1

5

)?2?1+(3?3)?  

1

3

=(

3

2

)3+25?1+3
=30

3

8

=

243

8

；
（Ⅱ）log3(9×272)+log26?lo

g

2

3+log43×log316
=log3[32×(33)2]+(log23+log22)?lo

g

2

3+log43×log342
=log3[32×36]+log22+(log43)×2(log34)
=log338+1+2
=8（log₃3）+1+2
=8+1+2
=11．