Solve 6+2^6-21/2

$$\frac { 6 + 2 ^ { 6 - 21 } } { 2 }$$

Evaluate

$$\frac{196609}{65536}=3.000015259$$

Solution Steps

Subtract 21 from 6 to get -15.

$$\frac{6+2^{-15}}{2}$$

Calculate 2 to the power of -15 and get \frac{1}{32768}.

$$\frac{6+\frac{1}{32768}}{2}$$

Add 6 and \frac{1}{32768} to get \frac{196609}{32768}.

$$\frac{\frac{196609}{32768}}{2}$$

Express \frac{\frac{196609}{32768}}{2} as a single fraction.

$$\frac{196609}{32768\times 2}$$

Multiply 32768 and 2 to get 65536.

$$\frac{196609}{65536}$$

Factor

$$\frac{7 \cdot 28087}{2 ^ {16}} = 3\frac{1}{65536} = 3.0000152587890625$$