Evaluate 2(2)^2-4*2+1

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

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 $1$ .

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

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

$2^{1 + 2} - 4 \cdot 2 + 1$

Add $1$ and $2$ .

$2^{3} - 4 \cdot 2 + 1$

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

$8 - 4 \cdot 2 + 1$

Multiply $- 4$ by $2$ .

$8 - 8 + 1$

Step 2

Simplify by adding and subtracting.

Subtract $8$ from $8$ .

$0 + 1$

Add $0$ and $1$ .

$1$