Solve 4^5*5^5/25^2*16^2

$$\frac { 4 ^ { 5 } \times 5 ^ { 5 } } { 25 ^ { 2 } \times 16 ^ { 2 } }$$

Evaluate

$$20$$

Solution Steps

Calculate 4 to the power of 5 and get 1024.

$$\frac{1024\times 5^{5}}{25^{2}\times 16^{2}}$$

Calculate 5 to the power of 5 and get 3125.

$$\frac{1024\times 3125}{25^{2}\times 16^{2}}$$

Multiply 1024 and 3125 to get 3200000.

$$\frac{3200000}{25^{2}\times 16^{2}}$$

Calculate 25 to the power of 2 and get 625.

$$\frac{3200000}{625\times 16^{2}}$$

Calculate 16 to the power of 2 and get 256.

$$\frac{3200000}{625\times 256}$$

Multiply 625 and 256 to get 160000.

$$\frac{3200000}{160000}$$

Divide 3200000 by 160000 to get 20.

$$20$$

Factor

$$2^{2}\times 5$$