Solve 12^3*9^2*4/6^4*8^2*81

$$\frac { 12 ^ { 3 } \times 9 ^ { 2 } \times 4 } { 6 ^ { 4 } \times 8 ^ { 2 } \times 81 }$$

Evaluate

$$\frac{1}{12}\approx 0.083333333$$

Solution Steps

Calculate 12 to the power of 3 and get 1728.

$$\frac{1728\times 9^{2}\times 4}{6^{4}\times 8^{2}\times 81}$$

Calculate 9 to the power of 2 and get 81.

$$\frac{1728\times 81\times 4}{6^{4}\times 8^{2}\times 81}$$

Multiply 1728 and 81 to get 139968.

$$\frac{139968\times 4}{6^{4}\times 8^{2}\times 81}$$

Multiply 139968 and 4 to get 559872.

$$\frac{559872}{6^{4}\times 8^{2}\times 81}$$

Calculate 6 to the power of 4 and get 1296.

$$\frac{559872}{1296\times 8^{2}\times 81}$$

Calculate 8 to the power of 2 and get 64.

$$\frac{559872}{1296\times 64\times 81}$$

Multiply 1296 and 64 to get 82944.

$$\frac{559872}{82944\times 81}$$

Multiply 82944 and 81 to get 6718464.

$$\frac{559872}{6718464}$$

Reduce the fraction \frac{559872}{6718464} to lowest terms by extracting and canceling out 559872.

$$\frac{1}{12}$$

Factor

$$\frac{1}{2 ^ {2} \cdot 3} = 0.08333333333333333$$