Solve 3^{5}*2*7,7*3^4*2^3,2^4*3*7^2

$$3 ^ { 5 } \times 2 \times 7,7 \times 3 ^ { 4 } \times 2 ^ { 3 } , 2 ^ { 4 } \times 3 \times 7 ^ { 2 }$$

Sort

$$2352,3402,4536$$

Solution Steps

Calculate 3 to the power of 5 and get 243.

$$sort(243\times 2\times 7,7\times 3^{4}\times 2^{3},2^{4}\times 3\times 7^{2})$$

Multiply 243 and 2 to get 486.

$$sort(486\times 7,7\times 3^{4}\times 2^{3},2^{4}\times 3\times 7^{2})$$

Multiply 486 and 7 to get 3402.

$$sort(3402,7\times 3^{4}\times 2^{3},2^{4}\times 3\times 7^{2})$$

Calculate 3 to the power of 4 and get 81.

$$sort(3402,7\times 81\times 2^{3},2^{4}\times 3\times 7^{2})$$

Multiply 7 and 81 to get 567.

$$sort(3402,567\times 2^{3},2^{4}\times 3\times 7^{2})$$

Calculate 2 to the power of 3 and get 8.

$$sort(3402,567\times 8,2^{4}\times 3\times 7^{2})$$

Multiply 567 and 8 to get 4536.

$$sort(3402,4536,2^{4}\times 3\times 7^{2})$$

Calculate 2 to the power of 4 and get 16.

$$sort(3402,4536,16\times 3\times 7^{2})$$

Multiply 16 and 3 to get 48.

$$sort(3402,4536,48\times 7^{2})$$

Calculate 7 to the power of 2 and get 49.

$$sort(3402,4536,48\times 49)$$

Multiply 48 and 49 to get 2352.

$$sort(3402,4536,2352)$$

To sort the list, start from a single element 3402.

$$3402$$

Insert 4536 to the appropriate location in the new list.

$$3402,4536$$

Insert 2352 to the appropriate location in the new list.

$$2352,3402,4536$$

Evaluate

$$3402,4536,2352$$