Solve 1,6*10^-19*20000/(9,1*10^-31/2)

$$1,6 \cdot 10 ^ { - 19 } \cdot 20000 / ( 9,1 \cdot 10 ^ { - 31 } / 2 )$$

Evaluate

$$\frac{640000000000000000}{91}\approx 7,032967033 \cdot 10^{15}$$

Solution Steps

Calculate 10 to the power of -19 and get \frac{1}{10000000000000000000}.

$$\frac{1,6\times \frac{1}{10000000000000000000}\times 20000}{\frac{9,1\times 10^{-31}}{2}}$$

Multiply 1,6 and \frac{1}{10000000000000000000} to get \frac{1}{6250000000000000000}.

$$\frac{\frac{1}{6250000000000000000}\times 20000}{\frac{9,1\times 10^{-31}}{2}}$$

Multiply \frac{1}{6250000000000000000} and 20000 to get \frac{1}{312500000000000}.

$$\frac{\frac{1}{312500000000000}}{\frac{9,1\times 10^{-31}}{2}}$$

Calculate 10 to the power of -31 and get \frac{1}{10000000000000000000000000000000}.

$$\frac{\frac{1}{312500000000000}}{\frac{9,1\times \frac{1}{10000000000000000000000000000000}}{2}}$$

Multiply 9,1 and \frac{1}{10000000000000000000000000000000} to get \frac{91}{100000000000000000000000000000000}.

$$\frac{\frac{1}{312500000000000}}{\frac{\frac{91}{100000000000000000000000000000000}}{2}}$$

Express \frac{\frac{91}{100000000000000000000000000000000}}{2} as a single fraction.

$$\frac{\frac{1}{312500000000000}}{\frac{91}{100000000000000000000000000000000\times 2}}$$

Multiply 100000000000000000000000000000000 and 2 to get 200000000000000000000000000000000.

$$\frac{\frac{1}{312500000000000}}{\frac{91}{200000000000000000000000000000000}}$$

Divide \frac{1}{312500000000000} by \frac{91}{200000000000000000000000000000000} by multiplying \frac{1}{312500000000000} by the reciprocal of \frac{91}{200000000000000000000000000000000}.

$$\frac{1}{312500000000000}\times \frac{200000000000000000000000000000000}{91}$$

Multiply \frac{1}{312500000000000} and \frac{200000000000000000000000000000000}{91} to get \frac{640000000000000000}{91}.

$$\frac{640000000000000000}{91}$$

Factor

$$\frac{2 ^ {22} \cdot 5 ^ {16}}{7 \cdot 13} = 7032967032967033\frac{88}{91} = 7032967032967033$$