Solve 6.626^2div(8*3.14^2*4.27*1.38)

$${ 6.626 }^{ 2 } \div (8 \times { 3.14 }^{ 2 } \times 4.27 \times 1.38)$$

Evaluate

$$\frac{274399225}{2904933948}\approx 0.094459712$$

Solution Steps

Calculate 6.626 to the power of 2 and get 43.903876.

$$\frac{43.903876}{8\times 3.14^{2}\times 4.27\times 1.38}$$

Calculate 3.14 to the power of 2 and get 9.8596.

$$\frac{43.903876}{8\times 9.8596\times 4.27\times 1.38}$$

Multiply 8 and 9.8596 to get 78.8768.

$$\frac{43.903876}{78.8768\times 4.27\times 1.38}$$

Multiply 78.8768 and 4.27 to get 336.803936.

$$\frac{43.903876}{336.803936\times 1.38}$$

Multiply 336.803936 and 1.38 to get 464.78943168.

$$\frac{43.903876}{464.78943168}$$

Expand \frac{43.903876}{464.78943168} by multiplying both numerator and the denominator by 100000000.

$$\frac{4390387600}{46478943168}$$

Reduce the fraction \frac{4390387600}{46478943168} to lowest terms by extracting and canceling out 16.

$$\frac{274399225}{2904933948}$$

Factor

$$\frac{5 ^ {2} \cdot 3313 ^ {2}}{3 \cdot 7 \cdot 23 \cdot 61 \cdot 2 ^ {2} \cdot 157 ^ {2}} = 0.09445971230737257$$