Solve 4^-frac{2{2}}+8^3

$$4 ^ { - \frac { 2 } { 2 } } + 8 ^ { 3 }$$

Evaluate

$$\frac{2049}{4}=512.25$$

Solution Steps

Divide 2 by 2 to get 1.

$$4^{-1}+8^{3}$$

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

$$\frac{1}{4}+8^{3}$$

Calculate 8 to the power of 3 and get 512.

$$\frac{1}{4}+512$$

Add \frac{1}{4} and 512 to get \frac{2049}{4}.

$$\frac{2049}{4}$$

Factor

$$\frac{3 \cdot 683}{2 ^ {2}} = 512\frac{1}{4} = 512.25$$