Solve 168.651div0.479div0.725div0.978*10^-23

$$168.651 \div 0.479 \div 0.725 \div 0.978 \times { 10 }^{ -23 }$$

Evaluate

$$\frac{56217}{11321165000000000000000000}\approx 4.965655036 \cdot 10^{-21}$$

Solution Steps

Express \frac{\frac{\frac{168.651}{0.479}}{0.725}}{0.978} as a single fraction.

$$\frac{\frac{168.651}{0.479}}{0.725\times 0.978}\times 10^{-23}$$

Expand \frac{168.651}{0.479} by multiplying both numerator and the denominator by 1000.

$$\frac{\frac{168651}{479}}{0.725\times 0.978}\times 10^{-23}$$

Multiply 0.725 and 0.978 to get 0.70905.

$$\frac{\frac{168651}{479}}{0.70905}\times 10^{-23}$$

Express \frac{\frac{168651}{479}}{0.70905} as a single fraction.

$$\frac{168651}{479\times 0.70905}\times 10^{-23}$$

Multiply 479 and 0.70905 to get 339.63495.

$$\frac{168651}{339.63495}\times 10^{-23}$$

Expand \frac{168651}{339.63495} by multiplying both numerator and the denominator by 100000.

$$\frac{16865100000}{33963495}\times 10^{-23}$$

Reduce the fraction \frac{16865100000}{33963495} to lowest terms by extracting and canceling out 15.

$$\frac{1124340000}{2264233}\times 10^{-23}$$

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

$$\frac{1124340000}{2264233}\times \frac{1}{100000000000000000000000}$$

Multiply \frac{1124340000}{2264233} and \frac{1}{100000000000000000000000} to get \frac{56217}{11321165000000000000000000}.

$$\frac{56217}{11321165000000000000000000}$$

Factor

$$\frac{3 \cdot 7 \cdot 2677}{29 \cdot 163 \cdot 479 \cdot 2 ^ {18} \cdot 5 ^ {19}} = 4.96565503638539 \times 10^{-21}$$