Question

(-5) ^-2

-5^-2

(-5)^0

-5^0

Answer 1

a
( -5)⁻² =  ( - 1/5)²  =  ( - 1/5) ( - 1/5)  =+1/25 ****
b
-5⁻²     - 1/5²   = -  ( 1/5 * 1/5 )  = - 1/25 ***
a, b  são diferentes em" a" os sinais  são multiplicados : em " b" os sinais não são multiplicados 

( - 5)⁰  =  1

-5⁰ = -1 ***

Answer 2

$\mathtt{(-5)^{-2}~~=~~ (-\dfrac{1}{5})^2~~=~~ -\dfrac{1}{5} ~~.~~-\dfrac{1}{5}~~=~~\dfrac{1}{25}} \\ \\ \\ \mathtt{-5^{-2}~~=~~ -\dfrac{1}{5}^2~~=~~-(\dfrac{1}{5} ~~.~~\dfrac{1}{5})~~=~~-\dfrac{1}{25}} \\ \\ \\ \mathtt{(-5)^0~~=1} \\ \\ \\ \mathtt{-5^0~~=~~ -1}$