Solve 2^-1+3^-1+4^-1]^0=

$$2 ^ { - 1 } + 3 ^ { - 1 } + 4 ^ { - 1 } ] ^ { 0 } =$$

Evaluate

$$\frac{13}{12}\approx 1.083333333$$

Solution Steps

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

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

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

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

Add \frac{1}{2} and \frac{1}{3} to get \frac{5}{6}.

$$\frac{5}{6}+4^{-1}$$

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

$$\frac{5}{6}+\frac{1}{4}$$

Add \frac{5}{6} and \frac{1}{4} to get \frac{13}{12}.

$$\frac{13}{12}$$

Factor

$$\frac{13}{2 ^ {2} \cdot 3} = 1\frac{1}{12} = 1.0833333333333333$$