Solve 21*8.85*10^-12*12.5*10^-4/2*7.12*10^-3

$$\frac { 21 \times 8.85 \times 10 ^ { - 12 } \times 12.5 \times 10 ^ { - 4 } } { 2 \times 7.12 \times 10 ^ { - 3 } }$$

Evaluate

$$\frac{3717}{227840000000000}\approx 1.631408006 \cdot 10^{-11}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -12 and -4 to get -16.

$$\frac{21\times 8.85\times 10^{-16}\times 12.5}{2\times 7.12\times 10^{-3}}$$

To divide powers of the same base, subtract the numerator's exponent from the denominator's exponent.

$$\frac{8.85\times 12.5\times 21}{2\times 7.12\times 10^{13}}$$

Multiply 8.85 and 12.5 to get 110.625.

$$\frac{110.625\times 21}{2\times 7.12\times 10^{13}}$$

Multiply 110.625 and 21 to get 2323.125.

$$\frac{2323.125}{2\times 7.12\times 10^{13}}$$

Multiply 2 and 7.12 to get 14.24.

$$\frac{2323.125}{14.24\times 10^{13}}$$

Calculate 10 to the power of 13 and get 10000000000000.

$$\frac{2323.125}{14.24\times 10000000000000}$$

Multiply 14.24 and 10000000000000 to get 142400000000000.

$$\frac{2323.125}{142400000000000}$$

Expand \frac{2323.125}{142400000000000} by multiplying both numerator and the denominator by 1000.

$$\frac{2323125}{142400000000000000}$$

Reduce the fraction \frac{2323125}{142400000000000000} to lowest terms by extracting and canceling out 625.

$$\frac{3717}{227840000000000}$$

Factor

$$\frac{7 \cdot 59 \cdot 3 ^ {2}}{89 \cdot 2 ^ {18} \cdot 5 ^ {10}} = 1.6314080056179774 \times 10^{-11}$$