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

$$\frac { 6 ^ { 2 } \cdot 3 ^ { 2 } \cdot 2 ^ { 3 } } { 12 ^ { 2 } } =$$

Evaluate

$$18$$

Solution Steps

Calculate 6 to the power of 2 and get 36.

$$\frac{36\times 3^{2}\times 2^{3}}{12^{2}}$$

Calculate 3 to the power of 2 and get 9.

$$\frac{36\times 9\times 2^{3}}{12^{2}}$$

Multiply 36 and 9 to get 324.

$$\frac{324\times 2^{3}}{12^{2}}$$

Calculate 2 to the power of 3 and get 8.

$$\frac{324\times 8}{12^{2}}$$

Multiply 324 and 8 to get 2592.

$$\frac{2592}{12^{2}}$$

Calculate 12 to the power of 2 and get 144.

$$\frac{2592}{144}$$

Divide 2592 by 144 to get 18.

$$18$$

Factor

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