Solve 885*10^-12*439*10^-5/314*831=

$$\frac { 885 \times 10 ^ { - 12 } \cdot 439 \times 10 ^ { - 5 } } { 314 \cdot 831 } =$$

Evaluate

$$\frac{25901}{1739560000000000000000}\approx 1.488939732 \cdot 10^{-17}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -12 and -5 to get -17.

$$\frac{885\times 10^{-17}\times 439}{314\times 831}$$

Cancel out 3 in both numerator and denominator.

$$\frac{295\times 439\times 10^{-17}}{277\times 314}$$

Multiply 295 and 439 to get 129505.

$$\frac{129505\times 10^{-17}}{277\times 314}$$

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

$$\frac{129505\times \frac{1}{100000000000000000}}{277\times 314}$$

Multiply 129505 and \frac{1}{100000000000000000} to get \frac{25901}{20000000000000000}.

$$\frac{\frac{25901}{20000000000000000}}{277\times 314}$$

Multiply 277 and 314 to get 86978.

$$\frac{\frac{25901}{20000000000000000}}{86978}$$

Express \frac{\frac{25901}{20000000000000000}}{86978} as a single fraction.

$$\frac{25901}{20000000000000000\times 86978}$$

Multiply 20000000000000000 and 86978 to get 1739560000000000000000.

$$\frac{25901}{1739560000000000000000}$$

Factor

$$\frac{59 \cdot 439}{2 ^ {18} \cdot 5 ^ {16} \cdot 157 \cdot 277} = 1.4889397318862239 \times 10^{-17}$$