Solve frac{e^-frac{140*10^3{8.314*298}}}{e^frac{240*10^3{8.314*298}}}

$$\frac { e ^ { - \frac { 140 \times 10 ^ { 3 } } { 8.314 \times 298 } } } { e ^ { \frac { 240 \times 10 ^ { 3 } } { 8.314 \times 298 } } }$$

Evaluate

$$\frac{1}{e^{\frac{95000000}{619393}}}\approx 2.452811114 \cdot 10^{-67}$$

Steps for Raising Power to Another Power

Cancel out 2 in both numerator and denominator.

$$\frac{e^{-\frac{70\times 10^{3}}{8.314\times 149}}}{e^{\frac{240\times 10^{3}}{8.314\times 298}}}$$

Calculate 10 to the power of 3 and get 1000.

$$\frac{e^{-\frac{70\times 1000}{8.314\times 149}}}{e^{\frac{240\times 10^{3}}{8.314\times 298}}}$$

Multiply 70 and 1000 to get 70000.

$$\frac{e^{-\frac{70000}{8.314\times 149}}}{e^{\frac{240\times 10^{3}}{8.314\times 298}}}$$

Multiply 8.314 and 149 to get 1238.786.

$$\frac{e^{-\frac{70000}{1238.786}}}{e^{\frac{240\times 10^{3}}{8.314\times 298}}}$$

Expand \frac{70000}{1238.786} by multiplying both numerator and the denominator by 1000.

$$\frac{e^{-\frac{70000000}{1238786}}}{e^{\frac{240\times 10^{3}}{8.314\times 298}}}$$

Reduce the fraction \frac{70000000}{1238786} to lowest terms by extracting and canceling out 2.

$$\frac{e^{-\frac{35000000}{619393}}}{e^{\frac{240\times 10^{3}}{8.314\times 298}}}$$

Cancel out 2 in both numerator and denominator.

$$\frac{e^{-\frac{35000000}{619393}}}{e^{\frac{120\times 10^{3}}{8.314\times 149}}}$$

Calculate 10 to the power of 3 and get 1000.

$$\frac{e^{-\frac{35000000}{619393}}}{e^{\frac{120\times 1000}{8.314\times 149}}}$$

Multiply 120 and 1000 to get 120000.

$$\frac{e^{-\frac{35000000}{619393}}}{e^{\frac{120000}{8.314\times 149}}}$$

Multiply 8.314 and 149 to get 1238.786.

$$\frac{e^{-\frac{35000000}{619393}}}{e^{\frac{120000}{1238.786}}}$$

Expand \frac{120000}{1238.786} by multiplying both numerator and the denominator by 1000.

$$\frac{e^{-\frac{35000000}{619393}}}{e^{\frac{120000000}{1238786}}}$$

Reduce the fraction \frac{120000000}{1238786} to lowest terms by extracting and canceling out 2.

$$\frac{e^{-\frac{35000000}{619393}}}{e^{\frac{60000000}{619393}}}$$

To divide powers of the same base, subtract the numerator's exponent from the denominator's exponent.

$$\frac{1}{e^{\frac{95000000}{619393}}}$$