Solve 7^26^25^24^2{3}^2{2}^2{1}^2

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

Evaluate

$$25401600$$

Solution Steps

Calculate 7 to the power of 2 and get 49.

$$49\times 6^{2}\times 5^{2}\times 4^{2}\times 3^{2}\times 2^{2}\times 1^{2}$$

Calculate 6 to the power of 2 and get 36.

$$49\times 36\times 5^{2}\times 4^{2}\times 3^{2}\times 2^{2}\times 1^{2}$$

Multiply 49 and 36 to get 1764.

$$1764\times 5^{2}\times 4^{2}\times 3^{2}\times 2^{2}\times 1^{2}$$

Calculate 5 to the power of 2 and get 25.

$$1764\times 25\times 4^{2}\times 3^{2}\times 2^{2}\times 1^{2}$$

Multiply 1764 and 25 to get 44100.

$$44100\times 4^{2}\times 3^{2}\times 2^{2}\times 1^{2}$$

Calculate 4 to the power of 2 and get 16.

$$44100\times 16\times 3^{2}\times 2^{2}\times 1^{2}$$

Multiply 44100 and 16 to get 705600.

$$705600\times 3^{2}\times 2^{2}\times 1^{2}$$

Calculate 3 to the power of 2 and get 9.

$$705600\times 9\times 2^{2}\times 1^{2}$$

Multiply 705600 and 9 to get 6350400.

$$6350400\times 2^{2}\times 1^{2}$$

Calculate 2 to the power of 2 and get 4.

$$6350400\times 4\times 1^{2}$$

Multiply 6350400 and 4 to get 25401600.

$$25401600\times 1^{2}$$

Calculate 1 to the power of 2 and get 1.

$$25401600\times 1$$

Multiply 25401600 and 1 to get 25401600.

$$25401600$$

Factor

$$2^{8}\times 3^{4}\times 5^{2}\times 7^{2}$$