Question

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

Answer 1

$-x^{-y}$

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

$3^{-1}=\frac{1}{3^1}$

in this exercise we will make the same thing

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

$-(-2)^{-3}$

let's do the inverse

$-\frac{1}{(-2)^3}$

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

$-\frac{1}{-8}$

doing the signal rule

$\boxed{\boxed{\frac{1}{8}}}$

Answer 2

$-x^{-y}\\ \\ -(-2)^{-3}=-\frac{1}{(-2)^3}=-\frac{1}{-8}=\frac{1}{8}$