Solve (36*10^8)^2div(6*10^2)^2

$$( 36 \times 10 ^ { 8 } ) ^ { 2 } \div ( 6 \times 10 ^ { 2 } ) ^ { 2 }$$

Evaluate

$$36000000000000$$

Solution Steps

Calculate 10 to the power of 8 and get 100000000.

$$\frac{\left(36\times 100000000\right)^{2}}{\left(6\times 10^{2}\right)^{2}}$$

Multiply 36 and 100000000 to get 3600000000.

$$\frac{3600000000^{2}}{\left(6\times 10^{2}\right)^{2}}$$

Calculate 3600000000 to the power of 2 and get 12960000000000000000.

$$\frac{12960000000000000000}{\left(6\times 10^{2}\right)^{2}}$$

Calculate 10 to the power of 2 and get 100.

$$\frac{12960000000000000000}{\left(6\times 100\right)^{2}}$$

Multiply 6 and 100 to get 600.

$$\frac{12960000000000000000}{600^{2}}$$

Calculate 600 to the power of 2 and get 360000.

$$\frac{12960000000000000000}{360000}$$

Divide 12960000000000000000 by 360000 to get 36000000000000.

$$36000000000000$$

Factor

$$2^{14}\times 3^{2}\times 5^{12}$$