1/(1+10^((1600-1500)/400))

asked by guest
on Nov 15, 2024 at 9:39 pm



You asked:

Evaluate the expression: 11+101600−1500400\frac{1}{1 + {10}^{\frac{1600 - 1500}{400}}}

MathBot Answer:

11+101600−1500400=11+104≈0.35993500019711491924178200539164\frac{1}{1 + {10}^{\frac{1600 - 1500}{400}}} = \frac{1}{1 + \sqrt[4]{10}} \approx 0.35993500019711491924178200539164

11+101600−1500400=11+10100400=11+1014=(1+1014)−1\begin{aligned}\frac{1}{1 + {10}^{\frac{1600 - 1500}{400}}}&=\frac{1}{1 + {10}^{\frac{100}{400}}}\\&=\frac{1}{1 + {10}^{\frac{1}{4}}}\\&={\left( 1 + {10}^{\frac{1}{4}} \right)}^{-1}\end{aligned}

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