化簡下列各題,並以正指數表示答案。

1.
(x^2 y^-2)^-1
=x^-2y^2
=y^2/x^2

2.
(a^-3 b^2/ a^2 b) ^2
=a^-6b^4/a^4b^2
=b^2/a^10

3.
(4a^-3 b^-3) ^2
=16a^-6b^-6
=16/(a^6b^6)

4.
4(3b^3)^2
=4(9b^6)
=36b^6

5.
(1/ x^3 y^6)^-1
=x^3y^6

6.
(2a^2 b^4 / a^0 b^-2) ^3
=8a^6b^8/b^-6
=8a^6b^14

7.
(x^2 y^3 / x^2 y^-4)^2
=(x^4y^6)/(x^4y^-8)
=y^14

8.
(4a^-2 b^3)^2 / 16ab^2
=(8a^-4b^6)/(16ab^2)
=b^4/2a^5