Solve 3.6*10^5/left(3*10^8right)^2

$$\frac{ 3.6 \times { 10 }^{ 5 } }{ { \left(3 \times { 10 }^{ 8 } \right) }^{ 2 } }$$

Evaluate

$$0.000000000004$$

Solution Steps

Calculate 10 to the power of 5 and get 100000.

$$\frac{3.6\times 100000}{\left(3\times 10^{8}\right)^{2}}$$

Multiply 3.6 and 100000 to get 360000.

$$\frac{360000}{\left(3\times 10^{8}\right)^{2}}$$

Calculate 10 to the power of 8 and get 100000000.

$$\frac{360000}{\left(3\times 100000000\right)^{2}}$$

Multiply 3 and 100000000 to get 300000000.

$$\frac{360000}{300000000^{2}}$$

Calculate 300000000 to the power of 2 and get 90000000000000000.

$$\frac{360000}{90000000000000000}$$

Reduce the fraction \frac{360000}{90000000000000000} to lowest terms by extracting and canceling out 360000.

$$\frac{1}{250000000000}$$

Factor

$$\frac{1}{2 ^ {10} \cdot 5 ^ {12}} = 4 \times 10^{-12}$$