Solve 8.85*10^-12*4.39*10^-5/314*831=

$$\frac { 8.85 \times 10 ^ { - 12 } \cdot 4.39 \times 10 ^ { - 5 } } { 314 \cdot 831 } =$$

Evaluate

$$\frac{25901}{17395600000000000000000000}\approx 1.488939732 \cdot 10^{-21}$$

Solution Steps

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

$$\frac{8.85\times 10^{-17}\times 4.39}{314\times 831}$$

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

$$\frac{8.85\times \frac{1}{100000000000000000}\times 4.39}{314\times 831}$$

Multiply 8.85 and \frac{1}{100000000000000000} to get \frac{177}{2000000000000000000}.

$$\frac{\frac{177}{2000000000000000000}\times 4.39}{314\times 831}$$

Multiply \frac{177}{2000000000000000000} and 4.39 to get \frac{77703}{200000000000000000000}.

$$\frac{\frac{77703}{200000000000000000000}}{314\times 831}$$

Multiply 314 and 831 to get 260934.

$$\frac{\frac{77703}{200000000000000000000}}{260934}$$

Express \frac{\frac{77703}{200000000000000000000}}{260934} as a single fraction.

$$\frac{77703}{200000000000000000000\times 260934}$$

Multiply 200000000000000000000 and 260934 to get 52186800000000000000000000.

$$\frac{77703}{52186800000000000000000000}$$

Reduce the fraction \frac{77703}{52186800000000000000000000} to lowest terms by extracting and canceling out 3.

$$\frac{25901}{17395600000000000000000000}$$

Factor

$$\frac{59 \cdot 439}{157 \cdot 277 \cdot 2 ^ {22} \cdot 5 ^ {20}} = 1.4889397318862243 \times 10^{-21}$$