Simplify \({5}^{2}\) to \(25\).
\[3=4\times 25+3\times {4}^{-1}-{3}^{-2}\]
Use Negative Power Rule: \({x}^{-a}=\frac{1}{{x}^{a}}\).
\[3=4\times 25+3\times \frac{1}{4}-{3}^{-2}\]
Use Negative Power Rule: \({x}^{-a}=\frac{1}{{x}^{a}}\).
\[3=4\times 25+3\times \frac{1}{4}-\frac{1}{{3}^{2}}\]
Simplify \({3}^{2}\) to \(9\).
\[3=4\times 25+3\times \frac{1}{4}-\frac{1}{9}\]
Simplify \(4\times 25\) to \(100\).
\[3=100+3\times \frac{1}{4}-\frac{1}{9}\]
Simplify \(3\times \frac{1}{4}\) to \(\frac{3}{4}\).
\[3=100+\frac{3}{4}-\frac{1}{9}\]
Simplify \(100+\frac{3}{4}-\frac{1}{9}\) to \(\frac{3623}{36}\).
\[3=\frac{3623}{36}\]
Since \(3=\frac{3623}{36}\) is false, there is no solution.
[No Solution]
