I really need help with these questions I am very confused !!!

16^-1(2^5)

3^-26^-2+3/2(-9)^-1

(5^0+5^2)^-1

16^-1(2^5)

= (1/16)(32)
= -2

3^-26^-2+3/2(-9)^-1
not clear what you mean
is it ...
(3^-2)(6^(-2) + (3/2)(-9)^-1 ???
if so, then
= (1/9)(1/36) + (3/2)(-1/9)
= 1/324 - 1/6
= 1/324 - 54/324 = - 53/324

(5^0 + 5^2)^-1
= (1+25)^-1
= 1/26