Solve 1.013*10^5{e}^-frac{0.2896*8840{8.31*300}}

$$1.013 \times { 10 }^{ 5 } { e }^{ - \frac{ 0.2896 \times 8840 }{ 8.31 \cdot 300 } }$$

Evaluate

$$\frac{101300}{e^{\frac{320008}{311625}}}\approx 36277.056484455$$

Solution Steps

Calculate 10 to the power of 5 and get 100000.

$$1.013\times 100000e^{-\frac{0.2896\times 8840}{8.31\times 300}}$$

Multiply 1.013 and 100000 to get 101300.

$$101300e^{-\frac{0.2896\times 8840}{8.31\times 300}}$$

Cancel out 20 in both numerator and denominator.

$$101300e^{-\frac{0.2896\times 442}{8.31\times 15}}$$

Multiply 0.2896 and 442 to get 128.0032.

$$101300e^{-\frac{128.0032}{8.31\times 15}}$$

Multiply 8.31 and 15 to get 124.65.

$$101300e^{-\frac{128.0032}{124.65}}$$

Expand \frac{128.0032}{124.65} by multiplying both numerator and the denominator by 10000.

$$101300e^{-\frac{1280032}{1246500}}$$

Reduce the fraction \frac{1280032}{1246500} to lowest terms by extracting and canceling out 4.

$$101300e^{-\frac{320008}{311625}}$$