Solve 3^42.71828^-3/4!

$$\frac{ { 3 }^{ 4 } { 2.71828 }^{ -3 } }{ 4 ! }$$

Evaluate

$$\frac{52734375000000}{313835881116493}\approx 0.168031695$$

Solution Steps

Calculate 3 to the power of 4 and get 81.

$$\frac{81\times 2.71828^{-3}}{4!}$$

Calculate 2.71828 to the power of -3 and get \frac{15625000000000}{313835881116493}.

$$\frac{81\times \frac{15625000000000}{313835881116493}}{4!}$$

Multiply 81 and \frac{15625000000000}{313835881116493} to get \frac{1265625000000000}{313835881116493}.

$$\frac{\frac{1265625000000000}{313835881116493}}{4!}$$

The factorial of 4 is 24.

$$\frac{\frac{1265625000000000}{313835881116493}}{24}$$

Factor

$$\frac{2 ^ {6} \cdot 3 ^ {3} \cdot 5 ^ {15}}{67957 ^ {3}} = 0.16803169482212738$$