Solve frac{21^{6}*35^{3}*80^3}{15^4*14^9*30^2}

$$\frac { 21 ^ { 6 } \cdot 35 ^ { 3 } \cdot 80 ^ { 3 } } { 15 ^ { 4 } \cdot 14 ^ { 9 } \cdot 30 ^ { 2 } }$$

Evaluate

$$2$$

Solution Steps

Calculate 21 to the power of 6 and get 85766121.

$$\frac{85766121\times 35^{3}\times 80^{3}}{15^{4}\times 14^{9}\times 30^{2}}$$

Calculate 35 to the power of 3 and get 42875.

$$\frac{85766121\times 42875\times 80^{3}}{15^{4}\times 14^{9}\times 30^{2}}$$

Multiply 85766121 and 42875 to get 3677222437875.

$$\frac{3677222437875\times 80^{3}}{15^{4}\times 14^{9}\times 30^{2}}$$

Calculate 80 to the power of 3 and get 512000.

$$\frac{3677222437875\times 512000}{15^{4}\times 14^{9}\times 30^{2}}$$

Multiply 3677222437875 and 512000 to get 1882737888192000000.

$$\frac{1882737888192000000}{15^{4}\times 14^{9}\times 30^{2}}$$

Calculate 15 to the power of 4 and get 50625.

$$\frac{1882737888192000000}{50625\times 14^{9}\times 30^{2}}$$

Calculate 14 to the power of 9 and get 20661046784.

$$\frac{1882737888192000000}{50625\times 20661046784\times 30^{2}}$$

Multiply 50625 and 20661046784 to get 1045965493440000.

$$\frac{1882737888192000000}{1045965493440000\times 30^{2}}$$

Calculate 30 to the power of 2 and get 900.

$$\frac{1882737888192000000}{1045965493440000\times 900}$$

Multiply 1045965493440000 and 900 to get 941368944096000000.

$$\frac{1882737888192000000}{941368944096000000}$$

Divide 1882737888192000000 by 941368944096000000 to get 2.

$$2$$

Factor

$$2$$