Solve 16^2-64^frac{1{2}}*4^-2

$$16 ^ { 2 } - 64 ^ { \frac { 1 } { 2 } } \times 4 ^ { - 2 }$$

Evaluate

$$\frac{511}{2}=255.5$$

Solution Steps

Calculate 16 to the power of 2 and get 256.

$$256-64^{\frac{1}{2}}\times 4^{-2}$$

Calculate 64 to the power of \frac{1}{2} and get 8.

$$256-8\times 4^{-2}$$

Calculate 4 to the power of -2 and get \frac{1}{16}.

$$256-8\times \frac{1}{16}$$

Multiply 8 and \frac{1}{16} to get \frac{1}{2}.

$$256-\frac{1}{2}$$

Subtract \frac{1}{2} from 256 to get \frac{511}{2}.

$$\frac{511}{2}$$

Factor

$$\frac{7 \cdot 73}{2} = 255\frac{1}{2} = 255.5$$