Simplify (2^3)^2+(2*3^2)^2

${(2^{3})}^{2} + {(2 \cdot 3^{2})}^{2}$

Simplify each term.

Multiply the exponents in ${(2^{3})}^{2}$ .

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$2^{3 \cdot 2} + {(2 \cdot 3^{2})}^{2}$

Multiply $3$ by $2$ .

$2^{6} + {(2 \cdot 3^{2})}^{2}$

Raise $2$ to the power of $6$ .

$64 + {(2 \cdot 3^{2})}^{2}$

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

$64 + {(2 \cdot 9)}^{2}$

Multiply $2$ by $9$ .

$64 + 18^{2}$

Raise $18$ to the power of $2$ .

$64 + 324$

Add $64$ and $324$ .

$388$