Solve {e}^20.9065-frac{3096.52{273.15+110-53.67}}

$${ e }^{ 20.9065- \frac{ 3096.52 }{ 273.15+110-53.67 } }$$

Evaluate

$$e^{\frac{189587681}{16474000}}\approx 99538.200159513$$

Solution Steps

Add 273.15 and 110 to get 383.15.

$$e^{20.9065-\frac{3096.52}{383.15-53.67}}$$

Subtract 53.67 from 383.15 to get 329.48.

$$e^{20.9065-\frac{3096.52}{329.48}}$$

Expand \frac{3096.52}{329.48} by multiplying both numerator and the denominator by 100.

$$e^{20.9065-\frac{309652}{32948}}$$

Reduce the fraction \frac{309652}{32948} to lowest terms by extracting and canceling out 4.

$$e^{20.9065-\frac{77413}{8237}}$$

Subtract \frac{77413}{8237} from 20.9065 to get \frac{189587681}{16474000}.

$$e^{\frac{189587681}{16474000}}$$