Solve 12^4*9^4*4/6^3*8^2*27

$$\frac { 12 ^ { 4 } \times 9 ^ { 4 } \times 4 } { 6 ^ { 3 } \times 8 ^ { 2 } \times 27 }$$

Evaluate

$$1458$$

Solution Steps

Calculate 12 to the power of 4 and get 20736.

$$\frac{20736\times 9^{4}\times 4}{6^{3}\times 8^{2}\times 27}$$

Calculate 9 to the power of 4 and get 6561.

$$\frac{20736\times 6561\times 4}{6^{3}\times 8^{2}\times 27}$$

Multiply 20736 and 6561 to get 136048896.

$$\frac{136048896\times 4}{6^{3}\times 8^{2}\times 27}$$

Multiply 136048896 and 4 to get 544195584.

$$\frac{544195584}{6^{3}\times 8^{2}\times 27}$$

Calculate 6 to the power of 3 and get 216.

$$\frac{544195584}{216\times 8^{2}\times 27}$$

Calculate 8 to the power of 2 and get 64.

$$\frac{544195584}{216\times 64\times 27}$$

Multiply 216 and 64 to get 13824.

$$\frac{544195584}{13824\times 27}$$

Multiply 13824 and 27 to get 373248.

$$\frac{544195584}{373248}$$

Divide 544195584 by 373248 to get 1458.

$$1458$$

Factor

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