Solve 20^5-4^5*(-5)^5/2^8

$$\frac { 20 ^ { 5 } - 4 ^ { 5 } \cdot ( - 5 ) ^ { 5 } } { 2 ^ { 8 } }$$

Evaluate

$$25000$$

Solution Steps

Calculate 20 to the power of 5 and get 3200000.

$$\frac{3200000-4^{5}\left(-5\right)^{5}}{2^{8}}$$

Calculate 4 to the power of 5 and get 1024.

$$\frac{3200000-1024\left(-5\right)^{5}}{2^{8}}$$

Calculate -5 to the power of 5 and get -3125.

$$\frac{3200000-1024\left(-3125\right)}{2^{8}}$$

Multiply 1024 and -3125 to get -3200000.

$$\frac{3200000-\left(-3200000\right)}{2^{8}}$$

The opposite of -3200000 is 3200000.

$$\frac{3200000+3200000}{2^{8}}$$

Add 3200000 and 3200000 to get 6400000.

$$\frac{6400000}{2^{8}}$$

Calculate 2 to the power of 8 and get 256.

$$\frac{6400000}{256}$$

Divide 6400000 by 256 to get 25000.

$$25000$$

Factor

$$2^{3}\times 5^{5}$$