Solve 66^1145^25*96^100

$${ 66 }^{ 11 } { 45 }^{ 25 } \times { 96 }^{ 100 }$$

Evaluate

$$37361081494547249634375644745331545546829998234334448328707994391494229965116028992705279309342339840448798816993822509419547103506940674565583986605889226379775827964641641038273839602973777609090502498248337898271267224873954569093120000000000000000000000000$$

Solution Steps

Calculate 66 to the power of 11 and get 103510234140112521216.

$$103510234140112521216\times 45^{25}\times 96^{100}$$

Calculate 45 to the power of 25 and get 213950272706703123083784878253936767578125.

$$103510234140112521216\times 213950272706703123083784878253936767578125\times 96^{100}$$

Multiply 103510234140112521216 and 213950272706703123083784878253936767578125 to get 22146042822211765762720301432216774333150024414062500000000000.

$$22146042822211765762720301432216774333150024414062500000000000\times 96^{100}$$

Calculate 96 to the power of 100 and get 1687031935884965030423865513001811026747194505266742417112773243035088793573924838842984610630991784467694332097273458389727477718575850821326229891871032151386690763060738361583538557010745413861376.

$$22146042822211765762720301432216774333150024414062500000000000\times 1687031935884965030423865513001811026747194505266742417112773243035088793573924838842984610630991784467694332097273458389727477718575850821326229891871032151386690763060738361583538557010745413861376$$

Multiply 22146042822211765762720301432216774333150024414062500000000000 and 1687031935884965030423865513001811026747194505266742417112773243035088793573924838842984610630991784467694332097273458389727477718575850821326229891871032151386690763060738361583538557010745413861376 to get 37361081494547249634375644745331545546829998234334448328707994391494229965116028992705279309342339840448798816993822509419547103506940674565583986605889226379775827964641641038273839602973777609090502498248337898271267224873954569093120000000000000000000000000.

$$37361081494547249634375644745331545546829998234334448328707994391494229965116028992705279309342339840448798816993822509419547103506940674565583986605889226379775827964641641038273839602973777609090502498248337898271267224873954569093120000000000000000000000000$$

Factor

$$2^{511}\times 3^{161}\times 5^{25}\times 11^{11}$$