52.43065^{2.4306}

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



You asked:

Evaluate the expression: 52.4306{5}^{2.4306}

MathBot Answer:

52.4306=2552153500049.99383960624460265346569781567714{5}^{2.4306} = 25 \cdot 5^{\frac{2153}{5000}} \approx 49.99383960624460265346569781567714


52.4306=52+430610000=52+21535000=5121535000=25521535000\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}