Solve {l}{1^{2}*2^{2}*3^{2}*4^{2}}{5^{2}*6^2*7^2}{8^2*9^2}

$$\left. \begin{array} { l } { 1 ^ { 2 } \cdot 2 ^ { 2 } \cdot 3 ^ { 2 } \cdot 4 ^ { 2 } } \\ { 5 ^ { 2 } \cdot 6 ^ { 2 } \cdot 7 ^ { 2 } } \\ { 8 ^ { 2 } \cdot 9 ^ { 2 } } \end{array} \right.$$

Sort

$$576,5184,44100$$

Solution Steps

Calculate 1 to the power of 2 and get 1.

$$sort(1\times 2^{2}\times 3^{2}\times 4^{2},5^{2}\times 6^{2}\times 7^{2},8^{2}\times 9^{2})$$

Calculate 2 to the power of 2 and get 4.

$$sort(1\times 4\times 3^{2}\times 4^{2},5^{2}\times 6^{2}\times 7^{2},8^{2}\times 9^{2})$$

Multiply 1 and 4 to get 4.

$$sort(4\times 3^{2}\times 4^{2},5^{2}\times 6^{2}\times 7^{2},8^{2}\times 9^{2})$$

Calculate 3 to the power of 2 and get 9.

$$sort(4\times 9\times 4^{2},5^{2}\times 6^{2}\times 7^{2},8^{2}\times 9^{2})$$

Multiply 4 and 9 to get 36.

$$sort(36\times 4^{2},5^{2}\times 6^{2}\times 7^{2},8^{2}\times 9^{2})$$

Calculate 4 to the power of 2 and get 16.

$$sort(36\times 16,5^{2}\times 6^{2}\times 7^{2},8^{2}\times 9^{2})$$

Multiply 36 and 16 to get 576.

$$sort(576,5^{2}\times 6^{2}\times 7^{2},8^{2}\times 9^{2})$$

Calculate 5 to the power of 2 and get 25.

$$sort(576,25\times 6^{2}\times 7^{2},8^{2}\times 9^{2})$$

Calculate 6 to the power of 2 and get 36.

$$sort(576,25\times 36\times 7^{2},8^{2}\times 9^{2})$$

Multiply 25 and 36 to get 900.

$$sort(576,900\times 7^{2},8^{2}\times 9^{2})$$

Calculate 7 to the power of 2 and get 49.

$$sort(576,900\times 49,8^{2}\times 9^{2})$$

Multiply 900 and 49 to get 44100.

$$sort(576,44100,8^{2}\times 9^{2})$$

Calculate 8 to the power of 2 and get 64.

$$sort(576,44100,64\times 9^{2})$$

Calculate 9 to the power of 2 and get 81.

$$sort(576,44100,64\times 81)$$

Multiply 64 and 81 to get 5184.

$$sort(576,44100,5184)$$

To sort the list, start from a single element 576.

$$576$$

Insert 44100 to the appropriate location in the new list.

$$576,44100$$

Insert 5184 to the appropriate location in the new list.

$$576,5184,44100$$

Evaluate

$$576,\ 44100,\ 5184$$