Algebra Examples

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

Step 1

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

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

Step 2

Simplify the result.

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Step 2.1

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

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

Step 2.2

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

$f (5) = 3125$

Step 2.3

The final answer is $3125$ .

$3125$

Step 3