Question 1132407

If {{{p = -2}}}, then which of the following is true?

A. 

{{{p^ -17 < p^ -18 < p^ -19}}}

{{{(-2)^ -17 < (-2)^ -18 < (-2)^ -19}}}

{{{1/(-2)^ 17 < 1/(-2)^ 18 < 1/(-2)^ 19}}}

{{{1/-131072 < 1/262144 < 1/-524288}}}=> False


B.

{{{ (-2)^ -19 < (-2)^ -17 < (-2)^ -18}}}

{{{1/(-2)^ 19 < 1/(-2)^ 17 <1/(-2)^ 18}}}

{{{1/-524288 < 1/-131072 < 1/262144}}}=>False



C. 


{{{p^ -19 < p^ -18 < p^ -17}}}

{{{1/(-2)^ 19 < 1/(-2)^ 18 < 1/(-2)^ 17}}}

{{{1/-524288< 1/1/262144 < 1/-131072}}}=>False


D.


{{{ p^ -17 < p^ -19 < p^ -18}}}

{{{(-2)^ -17 < (-2)^ -19 <(-2)^ -18 }}}

{{{1/(-2)^ 17 < 1/(-2)^ 19 <1/(-2)^ 18 }}}

{{{1/-131072 < 1/-524288 <1/262144 }}}=>True



E.

{{{ p^ -18 < p^ -19 < p^ -17}}}

{{{ (-2)^ -18 < (-2)^ -19 < (-2)^ -17}}}

{{{ 1/(-2)^ 18 < 1/(-2)^ 19 < 1/(-2)^ 17}}}

{{{ 1/262144 < 1/-524288 < 1/-131072}}}=>False


so, your answer is: D