Simplify 2(2)^2

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

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

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

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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.

$2^{1 + 2}$

$2^{1 + 2}$

Add $1$ and $2$ .

$2^{3}$

$2^{3}$

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

$8$