Evaluate Using the Given Value f(2)=2(2)^2-4*2

$f (2) = 2 {(2)}^{2} - 4 \cdot 2$

Step 1

Simplify each term.

Multiply $2$ by ${(2)}^{2}$ by adding the exponents.

Multiply $2$ by ${(2)}^{2}$ .

Raise $2$ to the power of $1$ .

$f (2) = 2 {(2)}^{2} - 4 \cdot 2$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$f (2) = 2^{1 + 2} - 4 \cdot 2$

Add $1$ and $2$ .

$f (2) = 2^{3} - 4 \cdot 2$

Raise $2$ to the power of $3$ .

$f (2) = 8 - 4 \cdot 2$

Multiply $- 4$ by $2$ .

$f (2) = 8 - 8$

Step 2

Subtract $8$ from $8$ .

$f (2) = 0$