Solve 2^-2,2^-21

$$2 ^ { - 2 } , 2 ^ { - 21 }$$

Sort

$$\frac{1}{2097152},\frac{1}{4}$$

Solution Steps

Calculate 2 to the power of -2 and get \frac{1}{4}.

$$sort(\frac{1}{4},2^{-21})$$

Calculate 2 to the power of -21 and get \frac{1}{2097152}.

$$sort(\frac{1}{4},\frac{1}{2097152})$$

Least common denominator of the numbers in the list \frac{1}{4},\frac{1}{2097152} is 2097152. Convert numbers in the list to fractions with denominator 2097152.

$$\frac{524288}{2097152},\frac{1}{2097152}$$

To sort the list, start from a single element \frac{524288}{2097152}.

$$\frac{524288}{2097152}$$

Insert \frac{1}{2097152} to the appropriate location in the new list.

$$\frac{1}{2097152},\frac{524288}{2097152}$$

Replace the obtained fractions with the initial values.

$$\frac{1}{2097152},\frac{1}{4}$$

Evaluate

$$\frac{1}{4},\frac{1}{2097152}$$