Solve left(left(left(57^2right)^2right)^2right)^2

$${ \left( { \left( { \left( { 57 }^{ 2 } \right) }^{ 2 } \right) }^{ 2 } \right) }^{ 2 }$$

Evaluate

$$12416457054691003038858224001$$

Solution Steps

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

$$\left(\left(57^{4}\right)^{2}\right)^{2}$$

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

$$\left(57^{8}\right)^{2}$$

Calculate 57 to the power of 8 and get 111429157112001.

$$111429157112001^{2}$$

Calculate 111429157112001 to the power of 2 and get 12416457054691003038858224001.

$$12416457054691003038858224001$$

Factor

$$3^{16}\times 19^{16}$$