maths questions please helpf4

1.
3-1/2
= 1/31/2
= 1/√3


2.
3-3/2
= (33)-1/2
= (271/2)-1
= (3√3)-1
= 1/(3√3)


3.
33/2
= (33)1/2
= 271/2
= √27
= 3√3

4.
31/2
= √3


5.
y=(1/2)x

When x = -3, y
= (1/2)-3
= 23
= 8

When x = -2, y
= (1/2)-2
= 4

When x = -3/2, y
= (1/2)-3/2
= (23)1/2
= 2√2

When x = -1, y
= (1/2)-1
= 2

When x = -1/2, y
= (1/2)-1/2
= (2)1/2
= √2

When x = 0, y
= (1/2)0
= 1

When x = 1/2, y
= (1/2)1/2
= 1/√2

When x = 1, y
= (1/2)1
= 1/2

When x = 3/2, y
= (1/2)3/2
= (1/23)1/2
= 1/(2√2)

When x = 2, y
= (1/2)2
= 1/4

When x = 3, y
= (1/2)3
= 1/8


6.
y=(1/3)x

When x = -2, y
= (1/3)-2
= (3)2
= 9

When x = -3/2, y
= (1/3)-3/2
= (3)3/2
= (33)1/2
= 3√3

When x = -1/2, y
= (1/3)-1/2
= (3)1/2
= √3

When x = 0, y
= (1/3)0
= 1

When x = 1/2, y
= (1/3)1/2
= 1/√3

When x = 1, y
= (1/3)1
= 1/3

When x = 3/2, y
= (1/3)3/2
= (1/33)1/2
= 1/(3√3)

When x = 2, y
= (1/3)2
= 1/9
=

請在指數加上括號 不然很容易理解錯條問題