Solve 2^5-(-2^4)-(-2^3)-2^2

$${ 2 }^{ 5-(- { 2 }^{ 4 } )-(- { 2 }^{ 3 } )- { 2 }^{ 2 } }$$

Evaluate

$$33554432$$

Solution Steps

Calculate 2 to the power of 4 and get 16.

$$2^{5-\left(-16\right)-\left(-2^{3}\right)-2^{2}}$$

The opposite of -16 is 16.

$$2^{5+16-\left(-2^{3}\right)-2^{2}}$$

Add 5 and 16 to get 21.

$$2^{21-\left(-2^{3}\right)-2^{2}}$$

Calculate 2 to the power of 3 and get 8.

$$2^{21-\left(-8\right)-2^{2}}$$

The opposite of -8 is 8.

$$2^{21+8-2^{2}}$$

Add 21 and 8 to get 29.

$$2^{29-2^{2}}$$

Calculate 2 to the power of 2 and get 4.

$$2^{29-4}$$

Subtract 4 from 29 to get 25.

$$2^{25}$$

Calculate 2 to the power of 25 and get 33554432.

$$33554432$$

Factor

$$2^{25}$$