Solve 910^9*410^-9*610^-9/(0.05)^2

$$\frac { 910 ^ { 9 } \times 410 ^ { - 9 } \times 610 ^ { - 9 } } { ( 0.05 ) ^ { 2 } }$$

Evaluate

$$\frac{427929800129788411}{9571130422394055276719312556252500000}\approx 4.471047632 \cdot 10^{-20}$$

Solution Steps

Calculate 910 to the power of 9 and get 427929800129788411000000000.

$$\frac{427929800129788411000000000\times 410^{-9}\times 610^{-9}}{0.05^{2}}$$

Calculate 410 to the power of -9 and get \frac{1}{327381934393961000000000}.

$$\frac{427929800129788411000000000\times \frac{1}{327381934393961000000000}\times 610^{-9}}{0.05^{2}}$$

Multiply 427929800129788411000000000 and \frac{1}{327381934393961000000000} to get \frac{427929800129788411}{327381934393961}.

$$\frac{\frac{427929800129788411}{327381934393961}\times 610^{-9}}{0.05^{2}}$$

Calculate 610 to the power of -9 and get \frac{1}{11694146092834141000000000}.

$$\frac{\frac{427929800129788411}{327381934393961}\times \frac{1}{11694146092834141000000000}}{0.05^{2}}$$

Multiply \frac{427929800129788411}{327381934393961} and \frac{1}{11694146092834141000000000} to get \frac{427929800129788411}{3828452168957622110687725022501000000000}.

$$\frac{\frac{427929800129788411}{3828452168957622110687725022501000000000}}{0.05^{2}}$$

Calculate 0.05 to the power of 2 and get 0.0025.

$$\frac{\frac{427929800129788411}{3828452168957622110687725022501000000000}}{0.0025}$$

Express \frac{\frac{427929800129788411}{3828452168957622110687725022501000000000}}{0.0025} as a single fraction.

$$\frac{427929800129788411}{3828452168957622110687725022501000000000\times 0.0025}$$

Multiply 3828452168957622110687725022501000000000 and 0.0025 to get 9571130422394055276719312556252500000.

$$\frac{427929800129788411}{9571130422394055276719312556252500000}$$

Factor

$$\frac{7 ^ {9} \cdot 13 ^ {9}}{2 ^ {5} \cdot 5 ^ {7} \cdot 41 ^ {9} \cdot 61 ^ {9}} = 4.471047632247697 \times 10^{-20}$$