Solve 10m/s*0,2m/1,01*10^-6frac{m^2{s}}

$$\frac { 10 \frac { m } { s } \times 0,2 m } { 1,01 \times 10 ^ { - 6 } \frac { m ^ { 2 } } { s } }$$

Evaluate

$$\frac{200000000}{101}\approx 1980198,01980198$$

Solution Steps

Multiply 10 and 0,2 to get 2.

$$\frac{2\times \frac{m}{s}m}{1,01\times 10^{-6}\times \frac{m^{2}}{s}}$$

Express 2\times \frac{m}{s} as a single fraction.

$$\frac{\frac{2m}{s}m}{1,01\times 10^{-6}\times \frac{m^{2}}{s}}$$

Express \frac{2m}{s}m as a single fraction.

$$\frac{\frac{2mm}{s}}{1,01\times 10^{-6}\times \frac{m^{2}}{s}}$$

Calculate 10 to the power of -6 and get \frac{1}{1000000}.

$$\frac{\frac{2mm}{s}}{1,01\times \frac{1}{1000000}\times \frac{m^{2}}{s}}$$

Multiply 1,01 and \frac{1}{1000000} to get \frac{101}{100000000}.

$$\frac{\frac{2mm}{s}}{\frac{101}{100000000}\times \frac{m^{2}}{s}}$$

Multiply \frac{101}{100000000} times \frac{m^{2}}{s} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{2mm}{s}}{\frac{101m^{2}}{100000000s}}$$

Divide \frac{2mm}{s} by \frac{101m^{2}}{100000000s} by multiplying \frac{2mm}{s} by the reciprocal of \frac{101m^{2}}{100000000s}.

$$\frac{2mm\times 100000000s}{s\times 101m^{2}}$$

Cancel out mms in both numerator and denominator.

$$\frac{2\times 100000000}{101}$$

Multiply 2 and 100000000 to get 200000000.

$$\frac{200000000}{101}$$

Factor

$$\frac{2 ^ {9} \cdot 5 ^ {8}}{101} = 1980198\frac{2}{101} = 1980198.0198019801$$