Question

計(jì)算，使結(jié)果中只含正整數(shù)指數(shù)冪：（a^-3b^-2）^-2•（a^-1b³）^-3=

a9

b5

．

Answer 1

分析：先根據(jù)積的乘方的性質(zhì)計(jì)算乘方，再根據(jù)單項(xiàng)式的乘法法則計(jì)算，然后把負(fù)整數(shù)指數(shù)冪轉(zhuǎn)化為正整數(shù)指數(shù)冪．

解答：解：（a^-3b^-2）^-2•（a^-1b³）^-3
=a⁶b⁴•a³b^-9
=a⁹b^-5
=

a9

b5

．
故答案為

a9

b5

．

點(diǎn)評(píng)：此題考查了積的乘方的性質(zhì)，單項(xiàng)式的乘法法則，負(fù)整數(shù)指數(shù)冪的意義，屬于基礎(chǔ)題，要熟練掌握．