Question 42787
Exponentiation of an integer a by a negative integer b is defined as

{{{a^(-b) = (1/a)^b}}}

So, we can modify the original expression to {{{1/(1/3)^5}}}

Exponentiation of fractions is defined as

{{{(a/b)^c = (a^c)/(b^c)}}}

So, we can modify the expression to {{{1/(1/243)}}}

Division by fractions is defined as:

{{{a / (b/c) = a * (c/b)}}}

So, we have {{{1 * (243/1)}}}

243/1 is clearly equal to 243, so our answer is {{{1* 243 = 243}}}

I hope this clears any doubts you had.