Find the Exact Value (5+5)^2+0.2^2

${(5 + 5)}^{2} + {0.2}^{2}$

Simplify each term.

Add $5$ and $5$ .

$10^{2} + {0.2}^{2}$

Raise $10$ to the power of $2$ .

$100 + {0.2}^{2}$

Raise $0.2$ to the power of $2$ .

$100 + 0.04$

Add $100$ and $0.04$ .

$100.04$