Solve 9*10^9(1*10^-9)(2.5*10^-9)/(10.05)^2

$$\frac { 9 \times 10 ^ { 9 } ( 1 \times 10 ^ { - 9 } ) ( 2.5 \times 10 ^ { - 9 } ) } { ( 10.05 ) ^ { 2 } }$$

Evaluate

$$\frac{1}{4489000000}\approx 2.227667632 \cdot 10^{-10}$$

Solution Steps

Multiply 10^{9} and 10^{-9} to get 1.

$$\frac{9\times 1\times 2.5\times 10^{-9}}{10.05^{2}}$$

Multiply 9 and 1 to get 9.

$$\frac{9\times 2.5\times 10^{-9}}{10.05^{2}}$$

Multiply 9 and 2.5 to get 22.5.

$$\frac{22.5\times 10^{-9}}{10.05^{2}}$$

Calculate 10 to the power of -9 and get \frac{1}{1000000000}.

$$\frac{22.5\times \frac{1}{1000000000}}{10.05^{2}}$$

Multiply 22.5 and \frac{1}{1000000000} to get \frac{9}{400000000}.

$$\frac{\frac{9}{400000000}}{10.05^{2}}$$

Calculate 10.05 to the power of 2 and get 101.0025.

$$\frac{\frac{9}{400000000}}{101.0025}$$

Express \frac{\frac{9}{400000000}}{101.0025} as a single fraction.

$$\frac{9}{400000000\times 101.0025}$$

Multiply 400000000 and 101.0025 to get 40401000000.

$$\frac{9}{40401000000}$$

Reduce the fraction \frac{9}{40401000000} to lowest terms by extracting and canceling out 9.

$$\frac{1}{4489000000}$$

Factor

$$\frac{1}{2 ^ {6} \cdot 5 ^ {6} \cdot 67 ^ {2}} = 2.2276676319893074 \times 10^{-10}$$