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

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

Evaluate

$$\frac{129}{128}=1.0078125$$

Solution Steps

Calculate 2 to the power of 2 and get 4.

$$\frac{4+2^{-5}}{2^{2}}$$

Calculate 2 to the power of -5 and get \frac{1}{32}.

$$\frac{4+\frac{1}{32}}{2^{2}}$$

Add 4 and \frac{1}{32} to get \frac{129}{32}.

$$\frac{\frac{129}{32}}{2^{2}}$$

Calculate 2 to the power of 2 and get 4.

$$\frac{\frac{129}{32}}{4}$$

Express \frac{\frac{129}{32}}{4} as a single fraction.

$$\frac{129}{32\times 4}$$

Multiply 32 and 4 to get 128.

$$\frac{129}{128}$$

Factor

$$\frac{3 \cdot 43}{2 ^ {7}} = 1\frac{1}{128} = 1.0078125$$