Solve 1^22^33^44^5{5}^6{6}^7

$${ 1 }^{ 2 } { 2 }^{ 3 } { 3 }^{ 4 } { 4 }^{ 5 } { 5 }^{ 6 } { 6 }^{ 7 }$$

Evaluate

$$2902376448000000$$

Solution Steps

Calculate 1 to the power of 2 and get 1.

$$1\times 2^{3}\times 3^{4}\times 4^{5}\times 5^{6}\times 6^{7}$$

Calculate 2 to the power of 3 and get 8.

$$1\times 8\times 3^{4}\times 4^{5}\times 5^{6}\times 6^{7}$$

Multiply 1 and 8 to get 8.

$$8\times 3^{4}\times 4^{5}\times 5^{6}\times 6^{7}$$

Calculate 3 to the power of 4 and get 81.

$$8\times 81\times 4^{5}\times 5^{6}\times 6^{7}$$

Multiply 8 and 81 to get 648.

$$648\times 4^{5}\times 5^{6}\times 6^{7}$$

Calculate 4 to the power of 5 and get 1024.

$$648\times 1024\times 5^{6}\times 6^{7}$$

Multiply 648 and 1024 to get 663552.

$$663552\times 5^{6}\times 6^{7}$$

Calculate 5 to the power of 6 and get 15625.

$$663552\times 15625\times 6^{7}$$

Multiply 663552 and 15625 to get 10368000000.

$$10368000000\times 6^{7}$$

Calculate 6 to the power of 7 and get 279936.

$$10368000000\times 279936$$

Multiply 10368000000 and 279936 to get 2902376448000000.

$$2902376448000000$$

Factor

$$2^{20}\times 3^{11}\times 5^{6}$$