Solve 25^3*8^5/5^5*2^10

$$\frac { 25 ^ { 3 } \cdot 8 ^ { 5 } } { 5 ^ { 5 } \cdot 2 ^ { 10 } }$$

Evaluate

$$160$$

Solution Steps

Calculate 25 to the power of 3 and get 15625.

$$\frac{15625\times 8^{5}}{5^{5}\times 2^{10}}$$

Calculate 8 to the power of 5 and get 32768.

$$\frac{15625\times 32768}{5^{5}\times 2^{10}}$$

Multiply 15625 and 32768 to get 512000000.

$$\frac{512000000}{5^{5}\times 2^{10}}$$

Calculate 5 to the power of 5 and get 3125.

$$\frac{512000000}{3125\times 2^{10}}$$

Calculate 2 to the power of 10 and get 1024.

$$\frac{512000000}{3125\times 1024}$$

Multiply 3125 and 1024 to get 3200000.

$$\frac{512000000}{3200000}$$

Divide 512000000 by 3200000 to get 160.

$$160$$

Factor

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