Simplify 2^2*4^2

$2^{2} \cdot 4^{2}$

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

$4 \cdot 4^{2}$

Multiply $4$ by $4^{2}$ by adding the exponents.

Multiply $4$ by $4^{2}$ .

Raise $4$ to the power of $1$ .

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

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

$4^{1 + 2}$

Add $1$ and $2$ .

$4^{3}$

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

$64$