Question

If x = - 2 and y = 3, what is the value of - x∧- y?  the answer is 1/8. how? 

Answer 1

`-x^(-y)\\ \\ -(-2)^(-3)=-(1)/((-2)^3)=-(1)/(-8)=(1)/(8)`

Answer 2

`-x^(-y)`

You have to know that every number to negative power is the inverse, for example:


`3^(-1)=(1)/(3^1)`

in this exercise we will make the same thing

when
`x=-2~~and~~y=3`


`-(-2)^(-3)`

let's do the inverse


`-(1)/((-2)^3)`

now
`(-2)^3=-8`


`-(1)/(-8)`

doing the signal rule


`\boxed{\boxed{(1)/(8)}}`