Solve 3^-1^+2^-3

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

Evaluate

$$\frac{11}{24}\approx 0.458333333$$

Solution Steps

Calculate -1 to the power of 1 and get -1.

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

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

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

Calculate 2 to the power of -3 and get \frac{1}{8}.

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

Add \frac{1}{3} and \frac{1}{8} to get \frac{11}{24}.

$$\frac{11}{24}$$

Factor

$$\frac{11}{2 ^ {3} \cdot 3} = 0.4583333333333333$$