If [tex]x = -2[/tex] and [tex]y = 3[/tex], what is the value of [tex]-x^{-y}[/tex]?
Answer (3)
− x − y
You have to know that every number to negative power is the inverse, for example:
3 − 1 = 3 1 1
in this exercise we will make the same thing
when x = − 2 an d y = 3
− ( − 2 ) − 3
let's do the inverse
− ( − 2 ) 3 1
now ( − 2 ) 3 = − 8
− − 8 1
doing the signal rule
8 1
− x − y − ( − 2 ) − 3 = − ( − 2 ) 3 1 = − − 8 1 = 8 1
The value of − x − y for x = − 2 and y = 3 is 8 1 . We find this by substituting the values into the expression and simplifying step by step. The negative exponent indicates taking the reciprocal of the base raised to the positive exponent.
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