Solve frac{12^{3}*13^{4}*14^6}{14^5*12^2*13^2}=

$$\frac { 12 ^ { 3 } \times 13 ^ { 4 } \times 14 ^ { 6 } } { 14 ^ { 5 } \times 12 ^ { 2 } \times 13 ^ { 2 } } =$$

Evaluate

$$28392$$

Solution Steps

Cancel out 12^{2}\times 13^{2}\times 14^{5} in both numerator and denominator.

$$12\times 14\times 13^{2}$$

Multiply 12 and 14 to get 168.

$$168\times 13^{2}$$

Calculate 13 to the power of 2 and get 169.

$$168\times 169$$

Multiply 168 and 169 to get 28392.

$$28392$$

Factor

$$2^{3}\times 3\times 7\times 13^{2}$$