What is 2.7489*10^8*e^{-(4278.6)/(273+20+242.79)} ?

The solution to 2.7489*10^8*e^{-(4278.6)/(273+20+242.79)} is 93553.63674…

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simplify 2.748910^8e^{-(4278.6)/(273+20+242.79)}

simplify

2.7489 \cdot 1 0^{8} \cdot e^{- \frac{4278.6}{273 + 20 + 242.79}}

93553.63674 \dots

Solution steps

2.7489 \cdot 1 0^{8} e^{- \frac{4278.6}{273 + 20 + 242.79}}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= 1 0^{8} \cdot 2.7489 \cdot \frac{1}{e ^{\frac{4278.6}{273 + 20 + 242.79}}}

Add the numbers:

273 + 20 + 242.79 = 535.79

= 1 0^{8} \cdot 2.7489 \cdot \frac{1}{e ^{\frac{4278.6}{535.79}}}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= 2.7489 \cdot \frac{1 0 ^{8} \cdot 1}{e ^{\frac{4278.6}{535.79}}}

\frac{1 \cdot 1 0 ^{8}}{e ^{\frac{4278.6}{535.79}}} = 34033.11751 \dots

= 2.7489 \cdot 34033.11751 \dots

Multiply the numbers:

2.7489 \cdot 34033.11751 \dots = 93553.63674 \dots

= 93553.63674 \dots

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What is 2.7489*10^8*e^{-(4278.6)/(273+20+242.79)} ?
The solution to 2.7489*10^8*e^{-(4278.6)/(273+20+242.79)} is 93553.63674…