Solve {left(left(left(left(9^2right)^2right)^2right)^2right)}^2

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

Evaluate

$$3433683820292512484657849089281$$

Solution Steps

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

$$\left(\left(\left(9^{4}\right)^{2}\right)^{2}\right)^{2}$$

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

$$\left(\left(9^{8}\right)^{2}\right)^{2}$$

To raise a power to another power, multiply the exponents. Multiply 8 and 2 to get 16.

$$\left(9^{16}\right)^{2}$$

Calculate 9 to the power of 16 and get 1853020188851841.

$$1853020188851841^{2}$$

Calculate 1853020188851841 to the power of 2 and get 3433683820292512484657849089281.

$$3433683820292512484657849089281$$

Factor

$$3^{64}$$