Answer
$-12$
Work Step by Step
Use the order of operations
$$\begin{align*}
-7+16\div 2^{4}+(10-4^{2})&=...\\
&\text{ First: Parentheses } \\
-7+16\div 2^{4}+\boxed{(10-4^{2})}&=...\\
&\text{Inside the parentheses: Exponents } \\
=-7+16\div 2^{4}+\fbox{(10-16)}&=-7+16\div 2^{4}+\fbox{(-6)} \\
&=-7+16\div 2^{4}-6\\
&\text{ Second: Exponents } \\
=-7+16\div\boxed{2^{4}}-6 &=-7+16\div 16-6\
&\text{ Third: Multiplication and Division (from left to right) } \\
=-7+\boxed{16\div 16}-6 & =-7+1-6 \\
&\text{ Fourth: Addition and Subtraction (from left to right)}\\
=\boxed{-7+1}-6 & =-6-6 \\
&=-12\end{align*}$$
