Solve {left({left({left({left({left({left({left({left({left({left({left({left({left({left({left({left({left({left(left(left(left(1^2right)^2right)^2right)^2right)}^{2}right)}^{2}right)}^{2}right)}^{2}right)}^{2}right)}^{2}right)}^{2}right)}^{2}right)}^{2}right)}^{2}right)}^{2}right)}^{2}right)}^{2}right)}^{2}right)}^2right)}^2right)}^2right)}^2

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

Evaluate

$$1$$

Solution Steps

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

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

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

$$\left(\left(\left(\left(\left(\left(\left(\left(\left(\left(\left(\left(\left(\left(\left(\left(\left(\left(\left(1^{8}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}$$

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

$$\left(\left(\left(\left(\left(\left(\left(\left(\left(\left(\left(\left(\left(\left(\left(\left(\left(\left(1^{16}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}$$

To raise a power to another power, multiply the exponents. Multiply 16 and 2 to get 32.

$$\left(\left(\left(\left(\left(\left(\left(\left(\left(\left(\left(\left(\left(\left(\left(\left(\left(1^{32}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}$$

To raise a power to another power, multiply the exponents. Multiply 32 and 2 to get 64.

$$\left(\left(\left(\left(\left(\left(\left(\left(\left(\left(\left(\left(\left(\left(\left(\left(1^{64}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}$$

To raise a power to another power, multiply the exponents. Multiply 64 and 2 to get 128.

$$\left(\left(\left(\left(\left(\left(\left(\left(\left(\left(\left(\left(\left(\left(\left(1^{128}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}$$

To raise a power to another power, multiply the exponents. Multiply 128 and 2 to get 256.

$$\left(\left(\left(\left(\left(\left(\left(\left(\left(\left(\left(\left(\left(\left(1^{256}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}$$

To raise a power to another power, multiply the exponents. Multiply 256 and 2 to get 512.

$$\left(\left(\left(\left(\left(\left(\left(\left(\left(\left(\left(\left(\left(1^{512}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}$$

To raise a power to another power, multiply the exponents. Multiply 512 and 2 to get 1024.

$$\left(\left(\left(\left(\left(\left(\left(\left(\left(\left(\left(\left(1^{1024}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}$$

To raise a power to another power, multiply the exponents. Multiply 1024 and 2 to get 2048.

$$\left(\left(\left(\left(\left(\left(\left(\left(\left(\left(\left(1^{2048}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}$$

To raise a power to another power, multiply the exponents. Multiply 2048 and 2 to get 4096.

$$\left(\left(\left(\left(\left(\left(\left(\left(\left(\left(1^{4096}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}$$

To raise a power to another power, multiply the exponents. Multiply 4096 and 2 to get 8192.

$$\left(\left(\left(\left(\left(\left(\left(\left(\left(1^{8192}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}$$

To raise a power to another power, multiply the exponents. Multiply 8192 and 2 to get 16384.

$$\left(\left(\left(\left(\left(\left(\left(\left(1^{16384}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}$$

To raise a power to another power, multiply the exponents. Multiply 16384 and 2 to get 32768.

$$\left(\left(\left(\left(\left(\left(\left(1^{32768}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}$$

To raise a power to another power, multiply the exponents. Multiply 32768 and 2 to get 65536.

$$\left(\left(\left(\left(\left(\left(1^{65536}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}$$

To raise a power to another power, multiply the exponents. Multiply 65536 and 2 to get 131072.

$$\left(\left(\left(\left(\left(1^{131072}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}$$

To raise a power to another power, multiply the exponents. Multiply 131072 and 2 to get 262144.

$$\left(\left(\left(\left(1^{262144}\right)^{2}\right)^{2}\right)^{2}\right)^{2}$$

To raise a power to another power, multiply the exponents. Multiply 262144 and 2 to get 524288.

$$\left(\left(\left(1^{524288}\right)^{2}\right)^{2}\right)^{2}$$

To raise a power to another power, multiply the exponents. Multiply 524288 and 2 to get 1048576.

$$\left(\left(1^{1048576}\right)^{2}\right)^{2}$$

To raise a power to another power, multiply the exponents. Multiply 1048576 and 2 to get 2097152.

$$\left(1^{2097152}\right)^{2}$$

Calculate 1 to the power of 2097152 and get 1.

$$1^{2}$$

Calculate 1 to the power of 2 and get 1.

$$1$$

Factor

$$1$$