Solve left(7^28^29^2right)^2

$${ \left( { 7 }^{ 2 } { 8 }^{ 2 } { 9 }^{ 2 } \right) }^{ 2 }$$

Evaluate

$$64524128256$$

Solution Steps

Calculate 7 to the power of 2 and get 49.

$$\left(49\times 8^{2}\times 9^{2}\right)^{2}$$

Calculate 8 to the power of 2 and get 64.

$$\left(49\times 64\times 9^{2}\right)^{2}$$

Multiply 49 and 64 to get 3136.

$$\left(3136\times 9^{2}\right)^{2}$$

Calculate 9 to the power of 2 and get 81.

$$\left(3136\times 81\right)^{2}$$

Multiply 3136 and 81 to get 254016.

$$254016^{2}$$

Calculate 254016 to the power of 2 and get 64524128256.

$$64524128256$$

Factor

$$2^{12}\times 3^{8}\times 7^{4}$$