Solve (9*10^9)(3.6*10^-12)^2/(0.093)^2

$$\frac { ( 9 \times 10 ^ { 9 } ) ( 3.6 \times 10 ^ { - 12 } ) ^ { 2 } } { ( 0.093 ) ^ { 2 } }$$

Evaluate

$$\frac{81}{6006250000000}\approx 1.348595213 \cdot 10^{-11}$$

Solution Steps

Calculate 10 to the power of 9 and get 1000000000.

$$\frac{9\times 1000000000\times \left(3.6\times 10^{-12}\right)^{2}}{0.093^{2}}$$

Multiply 9 and 1000000000 to get 9000000000.

$$\frac{9000000000\times \left(3.6\times 10^{-12}\right)^{2}}{0.093^{2}}$$

Calculate 10 to the power of -12 and get \frac{1}{1000000000000}.

$$\frac{9000000000\times \left(3.6\times \frac{1}{1000000000000}\right)^{2}}{0.093^{2}}$$

Multiply 3.6 and \frac{1}{1000000000000} to get \frac{9}{2500000000000}.

$$\frac{9000000000\times \left(\frac{9}{2500000000000}\right)^{2}}{0.093^{2}}$$

Calculate \frac{9}{2500000000000} to the power of 2 and get \frac{81}{6250000000000000000000000}.

$$\frac{9000000000\times \frac{81}{6250000000000000000000000}}{0.093^{2}}$$

Multiply 9000000000 and \frac{81}{6250000000000000000000000} to get \frac{729}{6250000000000000}.

$$\frac{\frac{729}{6250000000000000}}{0.093^{2}}$$

Calculate 0.093 to the power of 2 and get 0.008649.

$$\frac{\frac{729}{6250000000000000}}{0.008649}$$

Express \frac{\frac{729}{6250000000000000}}{0.008649} as a single fraction.

$$\frac{729}{6250000000000000\times 0.008649}$$

Multiply 6250000000000000 and 0.008649 to get 54056250000000.

$$\frac{729}{54056250000000}$$

Reduce the fraction \frac{729}{54056250000000} to lowest terms by extracting and canceling out 9.

$$\frac{81}{6006250000000}$$

Factor

$$\frac{3 ^ {4}}{2 ^ {7} \cdot 5 ^ {11} \cdot 31 ^ {2}} = 1.348595213319459 \times 10^{-11}$$