Isn't any number to the power of negative infinity supposed to be equal to zero ?

0^∞  and  1^∞  are "indeterminate" expressions  --- which means that their value is determined by the problem that created those expressions and has no specific value for all cases.

Also, 0^-∞  and  1^-∞  are also indeterminate expressions.

Expressions, such as (½)^-∞ can be reduced to (2)^∞ so it won't approach 0. --- Therefore, fractions between 0 and 1 won't approach 0.

$${{\mathtt{3}}}^{-{\mathtt{3}}} = {\frac{{\mathtt{1}}}{{\mathtt{27}}}} = {\mathtt{0.037\: \!037\: \!037\: \!037\: \!037}}$$

 

This is what i got.

 

Honestly, i don't know.

 

I've always hated negative number they always trick me with the operations.

"It does not equal zero, but it gets closer as it aproches -infinity"

Here are some links you can look at:

https://answers.yahoo.com/question/index?qid=20120621151805AAEKNIq

http://math.stackexchange.com/questions/1191818/why-does-e-raised-to-the-power-of-negative-infinity-equal-0

http://www.vitutor.com/calculus/limits/infinite_limit.html

http://mymathforum.com/advanced-statistics/1854-negative-infinity.html