Solve left(3^2right)^left(2^2right)^2+2

$${ \left( { 3 }^{ 2 } \right) }^{ { \left( { 2 }^{ 2 } \right) }^{ 2+2 } }$$

Evaluate

$$19323349832288915105454068722019581055401465761603328550184537628902466746415537000017939429786029354390082329294586119505153509101332940884098040478728639542560550133727399482778062322407372338121043399668242276591791504658985882995272436541441$$

Solution Steps

Calculate 3 to the power of 2 and get 9.

$$9^{\left(2^{2}\right)^{2+2}}$$

Calculate 2 to the power of 2 and get 4.

$$9^{4^{2+2}}$$

Add 2 and 2 to get 4.

$$9^{4^{4}}$$

Calculate 4 to the power of 4 and get 256.

$$9^{256}$$

Calculate 9 to the power of 256 and get 19323349832288915105454068722019581055401465761603328550184537628902466746415537000017939429786029354390082329294586119505153509101332940884098040478728639542560550133727399482778062322407372338121043399668242276591791504658985882995272436541441.

$$19323349832288915105454068722019581055401465761603328550184537628902466746415537000017939429786029354390082329294586119505153509101332940884098040478728639542560550133727399482778062322407372338121043399668242276591791504658985882995272436541441$$

Factor

$$3^{512}$$