Solve {left(left(left(left(22^2right)^2right)^2right)^2right)}^2

$${ \left( { \left( { \left( { \left( { 22 }^{ 2 } \right) }^{ 2 } \right) }^{ 2 } \right) }^{ 2 } \right) }^{ 2 }$$

Evaluate

$$9068298061633453450429559033030337013743616$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply 2 and 2 to get 4.

$$\left(\left(\left(22^{4}\right)^{2}\right)^{2}\right)^{2}$$

To raise a power to another power, multiply the exponents. Multiply 4 and 2 to get 8.

$$\left(\left(22^{8}\right)^{2}\right)^{2}$$

To raise a power to another power, multiply the exponents. Multiply 8 and 2 to get 16.

$$\left(22^{16}\right)^{2}$$

Calculate 22 to the power of 16 and get 3011361496339065143296.

$$3011361496339065143296^{2}$$

Calculate 3011361496339065143296 to the power of 2 and get 9068298061633453450429559033030337013743616.

$$9068298061633453450429559033030337013743616$$

Factor

$$2^{32}\times 11^{32}$$