Solve frac{12^{3}*73^{4}*14^6}{14^5*72^2*13^2}=

$$\frac { 12 ^ { 3 } \times 73 ^ { 4 } \times 14 ^ { 6 } } { 14 ^ { 5 } \times 72 ^ { 2 } \times 13 ^ { 2 } } =$$

Evaluate

$$\frac{397575374}{507}\approx 784172.33530572$$

Solution Steps

Cancel out 14^{5} in both numerator and denominator.

$$\frac{14\times 12^{3}\times 73^{4}}{13^{2}\times 72^{2}}$$

Calculate 12 to the power of 3 and get 1728.

$$\frac{14\times 1728\times 73^{4}}{13^{2}\times 72^{2}}$$

Multiply 14 and 1728 to get 24192.

$$\frac{24192\times 73^{4}}{13^{2}\times 72^{2}}$$

Calculate 73 to the power of 4 and get 28398241.

$$\frac{24192\times 28398241}{13^{2}\times 72^{2}}$$

Multiply 24192 and 28398241 to get 687010246272.

$$\frac{687010246272}{13^{2}\times 72^{2}}$$

Calculate 13 to the power of 2 and get 169.

$$\frac{687010246272}{169\times 72^{2}}$$

Calculate 72 to the power of 2 and get 5184.

$$\frac{687010246272}{169\times 5184}$$

Multiply 169 and 5184 to get 876096.

$$\frac{687010246272}{876096}$$

Reduce the fraction \frac{687010246272}{876096} to lowest terms by extracting and canceling out 1728.

$$\frac{397575374}{507}$$

Factor

$$\frac{2 \cdot 7 \cdot 73 ^ {4}}{3 \cdot 13 ^ {2}} = 784172\frac{170}{507} = 784172.3353057199$$