Evaluate (1+3^2)/2-4^2

$\frac{1 + 3^{2}}{2} - 4^{2}$

Step 1

Simplify each term.

Simplify the numerator.

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

$\frac{1 + 9}{2} - 4^{2}$

Add $1$ and $9$ .

$\frac{10}{2} - 4^{2}$

$\frac{10}{2} - 4^{2}$

Divide $10$ by $2$ .

$5 - 4^{2}$

Raise $4$ to the power of $2$ .

$5 - 1 \cdot 16$

Multiply $- 1$ by $16$ .

$5 - 16$

$5 - 16$

Step 2

Subtract $16$ from $5$ .

$- 11$

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