Solve 12^4*9^4*8/6^4*8^2*81

$$\frac { 12 ^ { 4 } \times 9 ^ { 4 } \times 8 } { 6 ^ { 4 } \times 8 ^ { 2 } \times 81 }$$

Evaluate

$$162$$

Solution Steps

Cancel out 8 in both numerator and denominator.

$$\frac{9^{4}\times 12^{4}}{8\times 81\times 6^{4}}$$

Calculate 9 to the power of 4 and get 6561.

$$\frac{6561\times 12^{4}}{8\times 81\times 6^{4}}$$

Calculate 12 to the power of 4 and get 20736.

$$\frac{6561\times 20736}{8\times 81\times 6^{4}}$$

Multiply 6561 and 20736 to get 136048896.

$$\frac{136048896}{8\times 81\times 6^{4}}$$

Multiply 8 and 81 to get 648.

$$\frac{136048896}{648\times 6^{4}}$$

Calculate 6 to the power of 4 and get 1296.

$$\frac{136048896}{648\times 1296}$$

Multiply 648 and 1296 to get 839808.

$$\frac{136048896}{839808}$$

Divide 136048896 by 839808 to get 162.

$$162$$

Factor

$$2\times 3^{4}$$