Solve 5*2^-3+7*4^-2

$$5 \cdot 2 ^ { - 3 } + 7 \cdot 4 ^ { - 2 }$$

Evaluate

$$\frac{17}{16}=1.0625$$

Solution Steps

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

$$5\times \frac{1}{8}+7\times 4^{-2}$$

Multiply 5 and \frac{1}{8} to get \frac{5}{8}.

$$\frac{5}{8}+7\times 4^{-2}$$

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

$$\frac{5}{8}+7\times \frac{1}{16}$$

Multiply 7 and \frac{1}{16} to get \frac{7}{16}.

$$\frac{5}{8}+\frac{7}{16}$$

Add \frac{5}{8} and \frac{7}{16} to get \frac{17}{16}.

$$\frac{17}{16}$$

Factor

$$\frac{17}{2 ^ {4}} = 1\frac{1}{16} = 1.0625$$