Solve 3^2*12^4/4^2*6^2

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

Evaluate

$$324$$

Solution Steps

Calculate 3 to the power of 2 and get 9.

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

Calculate 12 to the power of 4 and get 20736.

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

Multiply 9 and 20736 to get 186624.

$$\frac{186624}{4^{2}\times 6^{2}}$$

Calculate 4 to the power of 2 and get 16.

$$\frac{186624}{16\times 6^{2}}$$

Calculate 6 to the power of 2 and get 36.

$$\frac{186624}{16\times 36}$$

Multiply 16 and 36 to get 576.

$$\frac{186624}{576}$$

Divide 186624 by 576 to get 324.

$$324$$

Factor

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