Solve 4*(3.142)^2*(3.84*10^8)/(2.36*10^6)^2

$$\frac { 4 \times ( 3.142 ) ^ { 2 } \times ( 3.84 \times 10 ^ { 8 } ) } { ( 2.36 \times 10 ^ { 6 } ) ^ { 2 } }$$

Evaluate

$$\frac{7404123}{2719531250}\approx 0.002722573$$

Solution Steps

Calculate 3.142 to the power of 2 and get 9.872164.

$$\frac{4\times 9.872164\times 3.84\times 10^{8}}{\left(2.36\times 10^{6}\right)^{2}}$$

Multiply 4 and 9.872164 to get 39.488656.

$$\frac{39.488656\times 3.84\times 10^{8}}{\left(2.36\times 10^{6}\right)^{2}}$$

Multiply 39.488656 and 3.84 to get 151.63643904.

$$\frac{151.63643904\times 10^{8}}{\left(2.36\times 10^{6}\right)^{2}}$$

Calculate 10 to the power of 8 and get 100000000.

$$\frac{151.63643904\times 100000000}{\left(2.36\times 10^{6}\right)^{2}}$$

Multiply 151.63643904 and 100000000 to get 15163643904.

$$\frac{15163643904}{\left(2.36\times 10^{6}\right)^{2}}$$

Calculate 10 to the power of 6 and get 1000000.

$$\frac{15163643904}{\left(2.36\times 1000000\right)^{2}}$$

Multiply 2.36 and 1000000 to get 2360000.

$$\frac{15163643904}{2360000^{2}}$$

Calculate 2360000 to the power of 2 and get 5569600000000.

$$\frac{15163643904}{5569600000000}$$

Reduce the fraction \frac{15163643904}{5569600000000} to lowest terms by extracting and canceling out 2048.

$$\frac{7404123}{2719531250}$$

Factor

$$\frac{3 \cdot 1571 ^ {2}}{2 \cdot 5 ^ {8} \cdot 59 ^ {2}} = 0.0027225732375754093$$