e^(-24.16)

asked by guest
on Nov 27, 2024 at 6:54 pm



You asked:

Evaluate the expression: e−24.16{e}^{-24.16}

MathBot Answer:

e−24.16=e−60425≈3.21695745441922188819⋅10−11{e}^{-24.16} = e^{- \frac{604}{25}} \approx 3.21695745441922188819 \cdot 10^{-11}

e−24.16=e−(24+16100)=e−(24+425)=e−60425=1e60425=e−60425\begin{aligned}{e}^{-24.16}&=e^{- \left(24 + \frac{16}{100}\right)}\\&=e^{- \left(24 + \frac{4}{25}\right)}\\&=e^{- \frac{604}{25}}\\&=\frac{1}{e^{\frac{604}{25}}}\\&=e^{- \frac{604}{25}}\end{aligned}

ee is Euler's number, a mathematical constant that is approximately 2.718282.71828.

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