分数指数幂的计算。

1.(3^-2*72)^1/3
=3^(-2/3)72^(1/3)
=9(-1/3)⋅2⋅9^(1/3)
=2

2.(6^3/2*5^-3)^1/3
=6^(1/2)/5^(-1)
=(√6)/5

3.(8^4/8^-2)^1/3
=(8^6)^(1/3)=8^2
=64

4.5^1/2*4*5^3/2
=5^2⋅2^2
=10^2=100

5.(3^1/3/2^1/2)^6
=3^2/2^3
=3^2⋅2^-3=9/8

6.(2^1/2*2^-3/2)^-2
=2^2=4

7.2^4/3/3^2/3*6^2/3
=2^(4/3+2/3)3^(-2/3+2/3)
=2^2=4