$5^{2.4306}$
You asked:
Evaluate the expression: \({5}^{2.4306}\)
MathBot Answer:
\[{5}^{2.4306} = 25 \cdot 5^{\frac{2153}{5000}} \approx 49.99383960624460265346569781567714\]
\[\begin{aligned}{5}^{2.4306}& = 5^{2 + \frac{4306}{10000}}\\& = 5^{2 + \frac{2153}{5000}}\\& = 5^{\frac{12153}{5000}}\\& = 25 \cdot 5^{\frac{2153}{5000}}\end{aligned}\]