Solve 11.997*0.0001/4*1.380649*10^-23*298.15

$$\frac{ 11.997 \times 0.0001 }{ 4 \times 1.380649 \times { 10 }^{ -23 } \times 298.15 }$$

Evaluate

$$\frac{599850000000000000000000000}{8232809987}\approx 7.286090666 \cdot 10^{16}$$

Solution Steps

Multiply 11.997 and 0.0001 to get 0.0011997.

$$\frac{0.0011997}{4\times 1.380649\times 10^{-23}\times 298.15}$$

Multiply 4 and 1.380649 to get 5.522596.

$$\frac{0.0011997}{5.522596\times 10^{-23}\times 298.15}$$

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

$$\frac{0.0011997}{5.522596\times \frac{1}{100000000000000000000000}\times 298.15}$$

Multiply 5.522596 and \frac{1}{100000000000000000000000} to get \frac{1380649}{25000000000000000000000000000}.

$$\frac{0.0011997}{\frac{1380649}{25000000000000000000000000000}\times 298.15}$$

Multiply \frac{1380649}{25000000000000000000000000000} and 298.15 to get \frac{8232809987}{500000000000000000000000000000}.

$$\frac{0.0011997}{\frac{8232809987}{500000000000000000000000000000}}$$

Divide 0.0011997 by \frac{8232809987}{500000000000000000000000000000} by multiplying 0.0011997 by the reciprocal of \frac{8232809987}{500000000000000000000000000000}.

$$0.0011997\times \frac{500000000000000000000000000000}{8232809987}$$

Multiply 0.0011997 and \frac{500000000000000000000000000000}{8232809987} to get \frac{599850000000000000000000000}{8232809987}.

$$\frac{599850000000000000000000000}{8232809987}$$

Factor

$$\frac{31 \cdot 43 \cdot 2 ^ {22} \cdot 3 ^ {2} \cdot 5 ^ {23}}{67 \cdot 73 \cdot 89 \cdot 18913} = 72860906658503200\frac{451730854}{8232809987} = 72860906658503200$$