Answer:
the answer for the first #1 is 3/2 for the #2 its 25/16 for number #3 its 1/x^6
Explanation
#1 apply the exponet rule a -ยน = 1/a
(2/3) ^-1 =1/2/3 Apply the fraction rule then you get 3/2
#2 (4/5)^-2 = 1/(4/5)^2 ,
(4/5)^2= 16/25
then you get your answer 25/16
#3 ((x/x^2)^3)^2 =(x/x^2) 3times 2
multiply the numbers 3 times 2 = 6
= (x/x^2)^6
(x/x^2)^6= x^6/(x^2)^6
simplify (x^2)^6: x^12
x^6/x^12(fraction)
x^6/x^12= 1/x^12-6
subtract the numbers 12-6=6
=1/x^6