Use Multiplication Distributive Property: \({(xy)}^{a}={x}^{a}{y}^{a}\).
\[{4}^{2}{x}^{2}+{1}^{2}=16{x}^{2}\]
Simplify \({4}^{2}\) to \(16\).
\[16{x}^{2}+{1}^{2}=16{x}^{2}\]
Simplify \({1}^{2}\) to \(1\).
\[16{x}^{2}+1=16{x}^{2}\]
Cancel \(16{x}^{2}\) on both sides.
\[1=0\]
Since \(1=0\) is false, there is no solution.
[No Solution]
