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

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



You asked:

Evaluate the expression: \(\frac{1}{1 + {10}^{\frac{1600 - 1500}{400}}}\)

MathBot Answer:

\[\frac{1}{1 + {10}^{\frac{1600 - 1500}{400}}} = \frac{1}{1 + \sqrt[4]{10}} \approx 0.35993500019711491924178200539164\]

\[\begin{aligned}\frac{1}{1 + {10}^{\frac{1600 - 1500}{400}}}& = \frac{1}{1 + 10^{\left(1600 - 1500\right) \cdot \frac{1}{400}}}\\& = \frac{1}{1 + 10^{\frac{100}{400}}}\\& = \frac{1}{1 + \sqrt[4]{10}}\end{aligned}\]

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