Evaluate the Function f(-5) = fourth root of 5n-231

$f (- 5) = \sqrt[4]{5 n - 231}$

Step 1

Replace the variable $n$ with $- 5$ in the expression.

$f (- 5) = \sqrt[4]{5 (- 5) - 231}$

Step 2

Simplify the result.

Multiply $5$ by $- 5$ .

$f (- 5) = \sqrt[4]{- 25 - 231}$

Subtract $231$ from $- 25$ .

$f (- 5) = \sqrt[4]{- 256}$

Rewrite $- 256$ as $4^{4} \cdot - 1$ .

Factor $256$ out of $- 256$ .

$f (- 5) = \sqrt[4]{256 (- 1)}$

Rewrite $256$ as $4^{4}$ .

$f (- 5) = \sqrt[4]{4^{4} \cdot - 1}$

Pull terms out from under the radical.

$f (- 5) = 4 \sqrt[4]{- 1}$

The final answer is $4 \sqrt[4]{- 1}$ .

$4 \sqrt[4]{- 1}$

Step 3