Solve left(3^4right)^3*left(3^2right)^3

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

Evaluate

$$387420489$$

Solution Steps

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

$$3^{12}\times \left(3^{2}\right)^{3}$$

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

$$3^{12}\times 3^{6}$$

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

$$3^{18}$$

Calculate 3 to the power of 18 and get 387420489.

$$387420489$$

Factor

$$3^{18}$$