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

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

Evaluate

$$13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096$$

Solution Steps

Calculate 2 to the power of 2 and get 4.

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

Calculate 2 to the power of 2 and get 4.

$$4^{4^{2^{2}}}$$

Calculate 2 to the power of 2 and get 4.

$$4^{4^{4}}$$

Calculate 4 to the power of 4 and get 256.

$$4^{256}$$

Calculate 4 to the power of 256 and get 13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096.

$$13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096$$

Factor

$$2^{512}$$