Solve left(left(left(1^2right)^2right)^3right)^2

$${ \left( { \left( { \left( { 1 }^{ 2 } \right) }^{ 2 } \right) }^{ 3 } \right) }^{ 2 }$$

Evaluate

$$1$$

Solution Steps

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

$$\left(\left(1^{4}\right)^{3}\right)^{2}$$

To raise a power to another power, multiply the exponents. Multiply 4 and 3 to get 12.

$$\left(1^{12}\right)^{2}$$

Calculate 1 to the power of 12 and get 1.

$$1^{2}$$

Calculate 1 to the power of 2 and get 1.

$$1$$

Factor

$$1$$