Question

計算

a2• 4 a3

3 a • 6 a5

=

12	a19

．

Answer 1

分析：化根式為分?jǐn)?shù)指數(shù)冪，然后利用有理指數(shù)冪的運(yùn)算性質(zhì)化簡．

解答：解：由

a2• 4 a3

3 a • 6 a5

=

a2•a 3 4

a 1 3 •a 5 6

=

a2+ 3 4

a 1 3 + 5 6

=

a 11 4

a 7 6

=a

11

4

-

7

6

=a

19

12

=

12	a19

．
故答案為

12	a19

．

點(diǎn)評：本題考查了根式與分?jǐn)?shù)指數(shù)冪的化簡，訓(xùn)練了根式與分?jǐn)?shù)指數(shù)冪的互化，是基礎(chǔ)的運(yùn)算題．