Solve (3^32^2)^3div3^2

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

Evaluate

$$139968$$

Solution Steps

Calculate 3 to the power of 3 and get 27.

$$\frac{\left(27\times 2^{2}\right)^{3}}{3^{2}}$$

Calculate 2 to the power of 2 and get 4.

$$\frac{\left(27\times 4\right)^{3}}{3^{2}}$$

Multiply 27 and 4 to get 108.

$$\frac{108^{3}}{3^{2}}$$

Calculate 108 to the power of 3 and get 1259712.

$$\frac{1259712}{3^{2}}$$

Calculate 3 to the power of 2 and get 9.

$$\frac{1259712}{9}$$

Divide 1259712 by 9 to get 139968.

$$139968$$

Factor

$$2^{6}\times 3^{7}$$