Solve 2^-4+3^-1-4^-1/12

$$\frac { 2 ^ { - 4 } + 3 ^ { - 1 } - 4 ^ { - 1 } } { 12 }$$

Evaluate

$$\frac{7}{576}\approx 0.012152778$$

Solution Steps

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

$$\frac{\frac{1}{16}+3^{-1}-4^{-1}}{12}$$

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

$$\frac{\frac{1}{16}+\frac{1}{3}-4^{-1}}{12}$$

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

$$\frac{\frac{19}{48}-4^{-1}}{12}$$

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

$$\frac{\frac{19}{48}-\frac{1}{4}}{12}$$

Subtract \frac{1}{4} from \frac{19}{48} to get \frac{7}{48}.

$$\frac{\frac{7}{48}}{12}$$

Express \frac{\frac{7}{48}}{12} as a single fraction.

$$\frac{7}{48\times 12}$$

Multiply 48 and 12 to get 576.

$$\frac{7}{576}$$

Factor

$$\frac{7}{2 ^ {6} \cdot 3 ^ {2}} = 0.012152777777777778$$