Solve Q=((2^{2})^{2})^{2}*2^{2^{2}}*(2^{3})^{3^3}*(2^2^2)^3

$$Q = ( ( 2 ^ { 2 } ) ^ { 2 } ) ^ { 2 } \cdot 2 ^ { 2 ^ { 2 } } \cdot ( 2 ^ { 3 } ) ^ { 3 ^ { 3 } } \cdot ( 2 ^ { 2 ^ { 2 } } ) ^ { 3 }$$

Solve for Q

$$Q=40564819207303340847894502572032$$

Steps for Solving Linear Equation

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

$$Q=\left(2^{4}\right)^{2}\times 2^{2^{2}}\times \left(2^{3}\right)^{3^{3}}\times \left(2^{2^{2}}\right)^{3}$$

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

$$Q=2^{8}\times 2^{2^{2}}\times \left(2^{3}\right)^{3^{3}}\times \left(2^{2^{2}}\right)^{3}$$

Calculate 2 to the power of 8 and get 256.

$$Q=256\times 2^{2^{2}}\times \left(2^{3}\right)^{3^{3}}\times \left(2^{2^{2}}\right)^{3}$$

Calculate 2 to the power of 2 and get 4.

$$Q=256\times 2^{4}\times \left(2^{3}\right)^{3^{3}}\times \left(2^{2^{2}}\right)^{3}$$

Calculate 2 to the power of 4 and get 16.

$$Q=256\times 16\times \left(2^{3}\right)^{3^{3}}\times \left(2^{2^{2}}\right)^{3}$$

Multiply 256 and 16 to get 4096.

$$Q=4096\times \left(2^{3}\right)^{3^{3}}\times \left(2^{2^{2}}\right)^{3}$$

Calculate 2 to the power of 3 and get 8.

$$Q=4096\times 8^{3^{3}}\times \left(2^{2^{2}}\right)^{3}$$

Calculate 3 to the power of 3 and get 27.

$$Q=4096\times 8^{27}\times \left(2^{2^{2}}\right)^{3}$$

Calculate 8 to the power of 27 and get 2417851639229258349412352.

$$Q=4096\times 2417851639229258349412352\times \left(2^{2^{2}}\right)^{3}$$

Multiply 4096 and 2417851639229258349412352 to get 9903520314283042199192993792.

$$Q=9903520314283042199192993792\times \left(2^{2^{2}}\right)^{3}$$

Calculate 2 to the power of 2 and get 4.

$$Q=9903520314283042199192993792\times \left(2^{4}\right)^{3}$$

Calculate 2 to the power of 4 and get 16.

$$Q=9903520314283042199192993792\times 16^{3}$$

Calculate 16 to the power of 3 and get 4096.

$$Q=9903520314283042199192993792\times 4096$$

Multiply 9903520314283042199192993792 and 4096 to get 40564819207303340847894502572032.

$$Q=40564819207303340847894502572032$$

Assign Q

$$Q≔40564819207303340847894502572032$$