Solve 15^4*9^4*80/12^2*27^2

$$\frac { 15 ^ { 4 } \times 9 ^ { 4 } \times 80 } { 12 ^ { 2 } \times 27 ^ { 2 } }$$

Evaluate

$$253125$$

Solution Steps

Calculate 15 to the power of 4 and get 50625.

$$\frac{50625\times 9^{4}\times 80}{12^{2}\times 27^{2}}$$

Calculate 9 to the power of 4 and get 6561.

$$\frac{50625\times 6561\times 80}{12^{2}\times 27^{2}}$$

Multiply 50625 and 6561 to get 332150625.

$$\frac{332150625\times 80}{12^{2}\times 27^{2}}$$

Multiply 332150625 and 80 to get 26572050000.

$$\frac{26572050000}{12^{2}\times 27^{2}}$$

Calculate 12 to the power of 2 and get 144.

$$\frac{26572050000}{144\times 27^{2}}$$

Calculate 27 to the power of 2 and get 729.

$$\frac{26572050000}{144\times 729}$$

Multiply 144 and 729 to get 104976.

$$\frac{26572050000}{104976}$$

Divide 26572050000 by 104976 to get 253125.

$$253125$$

Factor

$$3^{4}\times 5^{5}$$