Solve {l}{10*10^9}{26*10^-7}

$$\left. \begin{array} { l } { 10 \times 10 ^ { 9 } } \\ { 26 \times 10 ^ { - 7 } } \end{array} \right.$$

Sort

$$\frac{13}{5000000},10000000000$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 1 and 9 to get 10.

$$sort(10^{10},26\times 10^{-7})$$

Calculate 10 to the power of 10 and get 10000000000.

$$sort(10000000000,26\times 10^{-7})$$

Calculate 10 to the power of -7 and get \frac{1}{10000000}.

$$sort(10000000000,26\times \frac{1}{10000000})$$

Multiply 26 and \frac{1}{10000000} to get \frac{13}{5000000}.

$$sort(10000000000,\frac{13}{5000000})$$

Convert decimal numbers in the list 10000000000,\frac{13}{5000000} to fractions.

$$10000000000,\frac{13}{5000000}$$

To sort the list, start from a single element 10000000000.

$$10000000000$$

Insert \frac{13}{5000000} to the appropriate location in the new list.

$$\frac{13}{5000000},10000000000$$

Evaluate

$$10000000000,\ \frac{13}{5000000}$$