Solve 27*10^-17*6div5652

$$27 \times { 10 }^{ -17 } \times 6 \div 5652$$

Evaluate

$$\frac{9}{31400000000000000000}\approx 2.866242038 \cdot 10^{-19}$$

Solution Steps

Calculate 10 to the power of -17 and get \frac{1}{100000000000000000}.

$$\frac{27\times \frac{1}{100000000000000000}\times 6}{5652}$$

Multiply 27 and \frac{1}{100000000000000000} to get \frac{27}{100000000000000000}.

$$\frac{\frac{27}{100000000000000000}\times 6}{5652}$$

Multiply \frac{27}{100000000000000000} and 6 to get \frac{81}{50000000000000000}.

$$\frac{\frac{81}{50000000000000000}}{5652}$$

Express \frac{\frac{81}{50000000000000000}}{5652} as a single fraction.

$$\frac{81}{50000000000000000\times 5652}$$

Multiply 50000000000000000 and 5652 to get 282600000000000000000.

$$\frac{81}{282600000000000000000}$$

Reduce the fraction \frac{81}{282600000000000000000} to lowest terms by extracting and canceling out 9.

$$\frac{9}{31400000000000000000}$$

Factor

$$\frac{3 ^ {2}}{2 ^ {18} \cdot 5 ^ {17} \cdot 157} = 2.8662420382165603 \times 10^{-19}$$