Solve 1,3^-10/1,38*10^-23*300

$$\frac { 1,3 ^ { - 10 } } { 1,38 \cdot 10 ^ { - 23 } \cdot 300 }$$

Evaluate

$$\frac{50000000000000000000000}{12223143}\approx 4,09060092 \cdot 10^{15}$$

Solution Steps

Calculate 3 to the power of -10 and get \frac{1}{59049}.

$$\frac{1\times \frac{1}{59049}}{1,38\times 10^{-23}\times 300}$$

Multiply 1 and \frac{1}{59049} to get \frac{1}{59049}.

$$\frac{\frac{1}{59049}}{1,38\times 10^{-23}\times 300}$$

Calculate 10 to the power of -23 and get \frac{1}{100000000000000000000000}.

$$\frac{\frac{1}{59049}}{1,38\times \frac{1}{100000000000000000000000}\times 300}$$

Multiply 1,38 and \frac{1}{100000000000000000000000} to get \frac{69}{5000000000000000000000000}.

$$\frac{\frac{1}{59049}}{\frac{69}{5000000000000000000000000}\times 300}$$

Multiply \frac{69}{5000000000000000000000000} and 300 to get \frac{207}{50000000000000000000000}.

$$\frac{\frac{1}{59049}}{\frac{207}{50000000000000000000000}}$$

Divide \frac{1}{59049} by \frac{207}{50000000000000000000000} by multiplying \frac{1}{59049} by the reciprocal of \frac{207}{50000000000000000000000}.

$$\frac{1}{59049}\times \frac{50000000000000000000000}{207}$$

Multiply \frac{1}{59049} and \frac{50000000000000000000000}{207} to get \frac{50000000000000000000000}{12223143}.

$$\frac{50000000000000000000000}{12223143}$$

Factor

$$\frac{2 ^ {22} \cdot 5 ^ {23}}{23 \cdot 3 ^ {12}} = 4090600919910697\frac{11368168}{12223143} = 4090600919910697$$