Find the Exact Value 2(2)^2

$2 {(2)}^{2}$

Step 1

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

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

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

$2^{1} {(2)}^{2}$

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

$2^{1 + 2}$

Add $1$ and $2$ .

$2^{3}$

Step 2

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

$8$