Solve (3^2*2^3)^66

$$( 3 ^ { 2 } \times 2 ^ { 3 } ) ^ { 66 }$$

Evaluate

$$383658446972775895733447055447072058455318564642786041877115623822706265537151709128332203552318595696260413443685224546304$$

Solution Steps

Calculate 3 to the power of 2 and get 9.

$$\left(9\times 2^{3}\right)^{66}$$

Calculate 2 to the power of 3 and get 8.

$$\left(9\times 8\right)^{66}$$

Multiply 9 and 8 to get 72.

$$72^{66}$$

Calculate 72 to the power of 66 and get 383658446972775895733447055447072058455318564642786041877115623822706265537151709128332203552318595696260413443685224546304.

$$383658446972775895733447055447072058455318564642786041877115623822706265537151709128332203552318595696260413443685224546304$$

Factor

$$2^{198}\times 3^{132}$$