Solve 2^3/2.71828^2*3^2

$$\frac{ { 2 }^{ 3 } }{ { 2.71828 }^{ 2 } \times { 3 }^{ 2 } }$$

Evaluate

$$\frac{5000000000}{41563384641}\approx 0.120298191$$

Solution Steps

Calculate 2 to the power of 3 and get 8.

$$\frac{8}{2.71828^{2}\times 3^{2}}$$

Calculate 2.71828 to the power of 2 and get 7.3890461584.

$$\frac{8}{7.3890461584\times 3^{2}}$$

Calculate 3 to the power of 2 and get 9.

$$\frac{8}{7.3890461584\times 9}$$

Multiply 7.3890461584 and 9 to get 66.5014154256.

$$\frac{8}{66.5014154256}$$

Expand \frac{8}{66.5014154256} by multiplying both numerator and the denominator by 10000000000.

$$\frac{80000000000}{665014154256}$$

Reduce the fraction \frac{80000000000}{665014154256} to lowest terms by extracting and canceling out 16.

$$\frac{5000000000}{41563384641}$$

Factor

$$\frac{2 ^ {9} \cdot 5 ^ {10}}{3 ^ {2} \cdot 67957 ^ {2}} = 0.12029819138135767$$