Solve 910^9110^-92.510^-9/0.05^2

$$\frac{ 9 { 10 }^{ 9 } 1 { 10 }^{ -9 } 2.5 { 10 }^{ -9 } }{ { 0.05 }^{ 2 } }$$

Evaluate

$$0.000009$$

Solution Steps

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

$$\frac{9\times 1\times 2.5\times 10^{-9}}{0.05^{2}}$$

Multiply 9 and 1 to get 9.

$$\frac{9\times 2.5\times 10^{-9}}{0.05^{2}}$$

Multiply 9 and 2.5 to get 22.5.

$$\frac{22.5\times 10^{-9}}{0.05^{2}}$$

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

$$\frac{22.5\times \frac{1}{1000000000}}{0.05^{2}}$$

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

$$\frac{\frac{9}{400000000}}{0.05^{2}}$$

Calculate 0.05 to the power of 2 and get 0.0025.

$$\frac{\frac{9}{400000000}}{0.0025}$$

Express \frac{\frac{9}{400000000}}{0.0025} as a single fraction.

$$\frac{9}{400000000\times 0.0025}$$

Multiply 400000000 and 0.0025 to get 1000000.

$$\frac{9}{1000000}$$

Factor

$$\frac{3 ^ {2}}{2 ^ {6} \cdot 5 ^ {6}} = 9 \times 10^{-6}$$