Solve frac{2^{4}*3^2*6^3}{4^3*9^2}

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

Evaluate

$$6$$

Solution Steps

Calculate 2 to the power of 4 and get 16.

$$\frac{16\times 3^{2}\times 6^{3}}{4^{3}\times 9^{2}}$$

Calculate 3 to the power of 2 and get 9.

$$\frac{16\times 9\times 6^{3}}{4^{3}\times 9^{2}}$$

Multiply 16 and 9 to get 144.

$$\frac{144\times 6^{3}}{4^{3}\times 9^{2}}$$

Calculate 6 to the power of 3 and get 216.

$$\frac{144\times 216}{4^{3}\times 9^{2}}$$

Multiply 144 and 216 to get 31104.

$$\frac{31104}{4^{3}\times 9^{2}}$$

Calculate 4 to the power of 3 and get 64.

$$\frac{31104}{64\times 9^{2}}$$

Calculate 9 to the power of 2 and get 81.

$$\frac{31104}{64\times 81}$$

Multiply 64 and 81 to get 5184.

$$\frac{31104}{5184}$$

Divide 31104 by 5184 to get 6.

$$6$$

Factor

$$2\times 3$$