52.43065^{2.4306}52.4306
asked by guest on Jan 05, 2025 at 4:53 pm
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MathBot Answer:
52.4306=25⋅521535000≈49.99383960624460265346569781567714{5}^{2.4306} = 25 \cdot 5^{\frac{2153}{5000}} \approx 49.9938396062446026534656978156771452.4306=25⋅550002153≈49.99383960624460265346569781567714
52.4306=52+430610000=52+21535000=5121535000=25⋅521535000\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}52.4306=52+100004306=52+50002153=5500012153=25⋅550002153