Evaluate the Function f(5)=1/(x^(-x))

$f (5) = \frac{1}{x^{- x}}$

Replace the variable $x$ with $5$ in the expression.

$f (5) = \frac{1}{{(5)}^{- (5)}}$

Simplify the result.

Move ${(5)}^{- (5)}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$f (5) = 5^{5}$

Raise $5$ to the power of $5$ .

$f (5) = 3125$

The final answer is $3125$ .

$3125$