Solve 4*3.8410^83.05^2/left(2.3610^6right)^2

$$\frac{ 4 \cdot 3.84 { 10 }^{ 8 } { 3.05 }^{ 2 } }{ { \left(2.36 { 10 }^{ 6 } \right) }^{ 2 } }$$

Evaluate

$$\frac{11163}{4351250}\approx 0.00256547$$

Solution Steps

Multiply 4 and 3.84 to get 15.36.

$$\frac{15.36\times 10^{8}\times 3.05^{2}}{\left(2.36\times 10^{6}\right)^{2}}$$

Calculate 10 to the power of 8 and get 100000000.

$$\frac{15.36\times 100000000\times 3.05^{2}}{\left(2.36\times 10^{6}\right)^{2}}$$

Multiply 15.36 and 100000000 to get 1536000000.

$$\frac{1536000000\times 3.05^{2}}{\left(2.36\times 10^{6}\right)^{2}}$$

Calculate 3.05 to the power of 2 and get 9.3025.

$$\frac{1536000000\times 9.3025}{\left(2.36\times 10^{6}\right)^{2}}$$

Multiply 1536000000 and 9.3025 to get 14288640000.

$$\frac{14288640000}{\left(2.36\times 10^{6}\right)^{2}}$$

Calculate 10 to the power of 6 and get 1000000.

$$\frac{14288640000}{\left(2.36\times 1000000\right)^{2}}$$

Multiply 2.36 and 1000000 to get 2360000.

$$\frac{14288640000}{2360000^{2}}$$

Calculate 2360000 to the power of 2 and get 5569600000000.

$$\frac{14288640000}{5569600000000}$$

Reduce the fraction \frac{14288640000}{5569600000000} to lowest terms by extracting and canceling out 1280000.

$$\frac{11163}{4351250}$$

Factor

$$\frac{3 \cdot 61 ^ {2}}{2 \cdot 5 ^ {4} \cdot 59 ^ {2}} = 0.002565469692617064$$