Solve 2^2+5-2^2+3/2^2+2

$$\frac{ { 2 }^{ 2+5 } - { 2 }^{ 2+3 } }{ { 2 }^{ 2+2 } }$$

Evaluate

$$6$$

Solution Steps

Add 2 and 5 to get 7.

$$\frac{2^{7}-2^{2+3}}{2^{2+2}}$$

Calculate 2 to the power of 7 and get 128.

$$\frac{128-2^{2+3}}{2^{2+2}}$$

Add 2 and 3 to get 5.

$$\frac{128-2^{5}}{2^{2+2}}$$

Calculate 2 to the power of 5 and get 32.

$$\frac{128-32}{2^{2+2}}$$

Subtract 32 from 128 to get 96.

$$\frac{96}{2^{2+2}}$$

Add 2 and 2 to get 4.

$$\frac{96}{2^{4}}$$

Calculate 2 to the power of 4 and get 16.

$$\frac{96}{16}$$

Divide 96 by 16 to get 6.

$$6$$

Factor

$$2\times 3$$