Solve (2^3)^3quad2^3^3

$$( 2 ^ { 3 } ) ^ { 3 } \quad 2 ^ { 3 ^ { 3 } }$$

Evaluate

$$68719476736$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply 3 and 3 to get 9.

$$2^{9}\times 2^{3^{3}}$$

Calculate 2 to the power of 9 and get 512.

$$512\times 2^{3^{3}}$$

Calculate 3 to the power of 3 and get 27.

$$512\times 2^{27}$$

Calculate 2 to the power of 27 and get 134217728.

$$512\times 134217728$$

Multiply 512 and 134217728 to get 68719476736.

$$68719476736$$

Factor

$$2^{36}$$