Решете 4^{0}+{15^{6}+15^{5}}^12-1^51+(2^2)^2-2=

$$4 ^ { 0 } + \{ 15 ^ { 6 } + 15 ^ { 5 } \} ^ { 12 } - 1 ^ { 51 } + ( 2 ^ { 2 } ) ^ { 2 } - 2 =$$

Изчисляване

$$10349403875785205936107039355712890625000000000000000000000000000000000000000000000014$$

Стъпки на решението

За да повдигнете едно число, повдигнато на степен, на друга степен, умножете експонентите. Умножете 2 по 2, за да получите 4.

$$4^{0}+\left(15^{6}+15^{5}\right)^{12}-1^{51}+2^{4}-2$$

Изчислявате 0 на степен 4 и получавате 1.

$$1+\left(15^{6}+15^{5}\right)^{12}-1^{51}+2^{4}-2$$

Изчислявате 6 на степен 15 и получавате 11390625.

$$1+\left(11390625+15^{5}\right)^{12}-1^{51}+2^{4}-2$$

Изчислявате 5 на степен 15 и получавате 759375.

$$1+\left(11390625+759375\right)^{12}-1^{51}+2^{4}-2$$

Съберете 11390625 и 759375, за да се получи 12150000.

$$1+12150000^{12}-1^{51}+2^{4}-2$$

Изчислявате 12 на степен 12150000 и получавате 10349403875785205936107039355712890625000000000000000000000000000000000000000000000000.

$$1+10349403875785205936107039355712890625000000000000000000000000000000000000000000000000-1^{51}+2^{4}-2$$

Съберете 1 и 10349403875785205936107039355712890625000000000000000000000000000000000000000000000000, за да се получи 10349403875785205936107039355712890625000000000000000000000000000000000000000000000001.

$$10349403875785205936107039355712890625000000000000000000000000000000000000000000000001-1^{51}+2^{4}-2$$

Изчислявате 51 на степен 1 и получавате 1.

$$10349403875785205936107039355712890625000000000000000000000000000000000000000000000001-1+2^{4}-2$$

Извадете 1 от 10349403875785205936107039355712890625000000000000000000000000000000000000000000000001, за да получите 10349403875785205936107039355712890625000000000000000000000000000000000000000000000000.

$$10349403875785205936107039355712890625000000000000000000000000000000000000000000000000+2^{4}-2$$

Изчислявате 4 на степен 2 и получавате 16.

$$10349403875785205936107039355712890625000000000000000000000000000000000000000000000000+16-2$$

Съберете 10349403875785205936107039355712890625000000000000000000000000000000000000000000000000 и 16, за да се получи 10349403875785205936107039355712890625000000000000000000000000000000000000000000000016.

$$10349403875785205936107039355712890625000000000000000000000000000000000000000000000016-2$$

Извадете 2 от 10349403875785205936107039355712890625000000000000000000000000000000000000000000000016, за да получите 10349403875785205936107039355712890625000000000000000000000000000000000000000000000014.

$$10349403875785205936107039355712890625000000000000000000000000000000000000000000000014$$