Evaluate Using the Given Value f(4)=(17-4^2)/(4^3-(59+4))

$f (4) = \frac{17 - 4^{2}}{4^{3} - (59 + 4)}$

Step 1

Simplify the numerator.

Raise $4$ to the power of $2$ .

$f (4) = \frac{17 - 1 \cdot 16}{4^{3} - (59 + 4)}$

Multiply $- 1$ by $16$ .

$f (4) = \frac{17 - 16}{4^{3} - (59 + 4)}$

Subtract $16$ from $17$ .

$f (4) = \frac{1}{4^{3} - (59 + 4)}$

Step 2

Simplify the denominator.

Raise $4$ to the power of $3$ .

$f (4) = \frac{1}{64 - (59 + 4)}$

Add $59$ and $4$ .

$f (4) = \frac{1}{64 - 1 \cdot 63}$

Multiply $- 1$ by $63$ .

$f (4) = \frac{1}{64 - 63}$

Subtract $63$ from $64$ .

$f (4) = \frac{1}{1}$

Step 3

Divide $1$ by $1$ .

$f (4) = 1$