Solve (3.6*10^8)^2div(6*10^2)^2

$$( 3.6 \times 10 ^ { 8 } ) ^ { 2 } \div ( 6 \times 10 ^ { 2 } ) ^ { 2 }$$

Evaluate

$$360000000000$$

Solution Steps

Calculate 10 to the power of 8 and get 100000000.

$$\frac{\left(3.6\times 100000000\right)^{2}}{\left(6\times 10^{2}\right)^{2}}$$

Multiply 3.6 and 100000000 to get 360000000.

$$\frac{360000000^{2}}{\left(6\times 10^{2}\right)^{2}}$$

Calculate 360000000 to the power of 2 and get 129600000000000000.

$$\frac{129600000000000000}{\left(6\times 10^{2}\right)^{2}}$$

Calculate 10 to the power of 2 and get 100.

$$\frac{129600000000000000}{\left(6\times 100\right)^{2}}$$

Multiply 6 and 100 to get 600.

$$\frac{129600000000000000}{600^{2}}$$

Calculate 600 to the power of 2 and get 360000.

$$\frac{129600000000000000}{360000}$$

Divide 129600000000000000 by 360000 to get 360000000000.

$$360000000000$$

Factor

$$2^{12}\times 3^{2}\times 5^{10}$$