Question

(50 POINTS) Determine whether x^-2 is always, sometimes or never a positive value. Explain your reasoning. (for any value of x).

Answer 1

never because you're multiplying the number -2 times so it will be positive only if the variable is positive.

Explanation:

what if x=2?

2^-2

= 1 /2*2

= 1 /2^2

= 1 /4 or 0.25

what if x=-5?

-5^-2

=−1*5−2

=−1* 1 /5*5

= −1 /5*5

= −1 /5^2

= −1 /25 or-0.04

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