Question

化簡：(a2•

5	a3

)÷(

a

•

10	a9

)=

a

6

5

（用分?jǐn)?shù)指數(shù)冪表示）．

Answer 1

分析：化根式為分?jǐn)?shù)指數(shù)冪，然后利用同底數(shù)冪的乘除運算化簡求值．

解答：解：(a2•

5	a3

)÷(

a

•

10	a9

)
=(a2•a

3

5

)÷(a

1

2

•a

9

10

)
=a2+

3

5

÷a

1

2

+

9

10

=a

13

5

÷a

14

10

=a

13

5

-

7

5

=a

6

5

．
故答案為：a

6

5

．

點評：本題考查了根式與分?jǐn)?shù)指數(shù)冪的互化及其運算，是基礎(chǔ)的計算題．