Solve 2^-4+3^-1+4^-1

$$2 ^ { - 4 } + 3 ^ { - 1 } + 4 ^ { - 1 }$$

Evaluate

$$\frac{31}{48}\approx 0.645833333$$

Solution Steps

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

$$\frac{1}{16}+3^{-1}+4^{-1}$$

Calculate 3 to the power of -1 and get \frac{1}{3}.

$$\frac{1}{16}+\frac{1}{3}+4^{-1}$$

Add \frac{1}{16} and \frac{1}{3} to get \frac{19}{48}.

$$\frac{19}{48}+4^{-1}$$

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

$$\frac{19}{48}+\frac{1}{4}$$

Add \frac{19}{48} and \frac{1}{4} to get \frac{31}{48}.

$$\frac{31}{48}$$

Factor

$$\frac{31}{2 ^ {4} \cdot 3} = 0.6458333333333334$$