Solve 1,6*10^{-18}*10^16*10^-6/(8.85*10^-12*11.68*10^9)

$$1,6 \times 10 ^ { - 18 } \times 10 ^ { 16 } \times 10 ^ { - 6 } / ( 8.85 \times 10 ^ { - 12 } \times 11.68 \times 10 ^ { 9 } )$$

Sort

$$\frac{1}{1722800},1$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -18 and 16 to get -2.

$$sort(1,\frac{6\times 10^{-2}\times 10^{-6}}{8.85\times 10^{-12}\times 11.68\times 10^{9}})$$

To multiply powers of the same base, add their exponents. Add -2 and -6 to get -8.

$$sort(1,\frac{6\times 10^{-8}}{8.85\times 10^{-12}\times 11.68\times 10^{9}})$$

To multiply powers of the same base, add their exponents. Add -12 and 9 to get -3.

$$sort(1,\frac{6\times 10^{-8}}{8.85\times 10^{-3}\times 11.68})$$

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

$$sort(1,\frac{6}{8.85\times 11.68\times 10^{5}})$$

Multiply 8.85 and 11.68 to get 103.368.

$$sort(1,\frac{6}{103.368\times 10^{5}})$$

Calculate 10 to the power of 5 and get 100000.

$$sort(1,\frac{6}{103.368\times 100000})$$

Multiply 103.368 and 100000 to get 10336800.

$$sort(1,\frac{6}{10336800})$$

Reduce the fraction \frac{6}{10336800} to lowest terms by extracting and canceling out 6.

$$sort(1,\frac{1}{1722800})$$

Convert decimal numbers in the list 1,\frac{1}{1722800} to fractions.

$$1,\frac{1}{1722800}$$

To sort the list, start from a single element 1.

$$1$$

Insert \frac{1}{1722800} to the appropriate location in the new list.

$$\frac{1}{1722800},1$$

Evaluate

$$1,\frac{1}{1722800}$$