Solve (12^2)^3(12^6)^2

$$( 12 ^ { 2 } ) ^ { 3 } ( 12 ^ { 6 } ) ^ { 2 }$$

Evaluate

$$26623333280885243904$$

Solution Steps

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

$$12^{6}\times \left(12^{6}\right)^{2}$$

To raise a power to another power, multiply the exponents. Multiply 6 and 2 to get 12.

$$12^{6}\times 12^{12}$$

To multiply powers of the same base, add their exponents. Add 6 and 12 to get 18.

$$12^{18}$$

Calculate 12 to the power of 18 and get 26623333280885243904.

$$26623333280885243904$$

Factor

$$2^{36}\times 3^{18}$$