$5^{2.4306}$

asked by guest
on Jan 05, 2025 at 4:53 pm



You asked:

Evaluate the expression: \({5}^{2.4306}\)

MathBot Answer:

\[{5}^{2.4306} = 25 \cdot 5^{\frac{2153}{5000}} \approx 49.99383960624460265346569781567714\]


\[\begin{aligned}{5}^{2.4306}& = 5^{2 + \frac{4306}{10000}}\\& = 5^{2 + \frac{2153}{5000}}\\& = 5^{\frac{12153}{5000}}\\& = 25 \cdot 5^{\frac{2153}{5000}}\end{aligned}\]