Solve frac{6^{3}*8^2*3^7}{12^4*3^5}

$$\frac { 6 ^ { 3 } \cdot 8 ^ { 2 } \cdot 3 ^ { 7 } } { 12 ^ { 4 } \cdot 3 ^ { 5 } }$$

Evaluate

$$6$$

Solution Steps

Cancel out 3^{5} in both numerator and denominator.

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

Calculate 3 to the power of 2 and get 9.

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

Calculate 6 to the power of 3 and get 216.

$$\frac{9\times 216\times 8^{2}}{12^{4}}$$

Multiply 9 and 216 to get 1944.

$$\frac{1944\times 8^{2}}{12^{4}}$$

Calculate 8 to the power of 2 and get 64.

$$\frac{1944\times 64}{12^{4}}$$

Multiply 1944 and 64 to get 124416.

$$\frac{124416}{12^{4}}$$

Calculate 12 to the power of 4 and get 20736.

$$\frac{124416}{20736}$$

Divide 124416 by 20736 to get 6.

$$6$$

Factor

$$2\times 3$$