Solve left(16^2right)^3+left(16^4right)^3

$${ \left( { 16 }^{ 2 } \right) }^{ 3 } + { \left( { 16 }^{ 4 } \right) }^{ 3 }$$

Evaluate

$$281474993487872$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply 2 and 3 to get 6.

$$16^{6}+\left(16^{4}\right)^{3}$$

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

$$16^{6}+16^{12}$$

Calculate 16 to the power of 6 and get 16777216.

$$16777216+16^{12}$$

Calculate 16 to the power of 12 and get 281474976710656.

$$16777216+281474976710656$$

Add 16777216 and 281474976710656 to get 281474993487872.

$$281474993487872$$

Factor

$$2^{24}\times 97\times 257\times 673$$