Solve 108^23/32^9*81^17

$$\frac { 108 ^ { 23 } } { 32 ^ { 9 } \cdot 81 ^ { 17 } }$$

Evaluate

$$6$$

Solution Steps

Calculate 108 to the power of 23 and get 58714636455926919870748274719525483879870758912.

$$\frac{58714636455926919870748274719525483879870758912}{32^{9}\times 81^{17}}$$

Calculate 32 to the power of 9 and get 35184372088832.

$$\frac{58714636455926919870748274719525483879870758912}{35184372088832\times 81^{17}}$$

Calculate 81 to the power of 17 and get 278128389443693511257285776231761.

$$\frac{58714636455926919870748274719525483879870758912}{35184372088832\times 278128389443693511257285776231761}$$

Multiply 35184372088832 and 278128389443693511257285776231761 to get 9785772742654486645124712453254247313311793152.

$$\frac{58714636455926919870748274719525483879870758912}{9785772742654486645124712453254247313311793152}$$

Divide 58714636455926919870748274719525483879870758912 by 9785772742654486645124712453254247313311793152 to get 6.

$$6$$

Factor

$$2\times 3$$