$$[ 5 ^ { - 1 } + \frac { 3 ^ { - 2 } } { 2 ^ { - 2 } } ] ^ { - 1 }$$
$\frac{45}{29}\approx 1.551724138$
$$\left(\frac{1}{5}+\frac{3^{-2}}{2^{-2}}\right)^{-1}$$
$$\left(\frac{1}{5}+\frac{\frac{1}{9}}{2^{-2}}\right)^{-1}$$
$$\left(\frac{1}{5}+\frac{\frac{1}{9}}{\frac{1}{4}}\right)^{-1}$$
$$\left(\frac{1}{5}+\frac{1}{9}\times 4\right)^{-1}$$
$$\left(\frac{1}{5}+\frac{4}{9}\right)^{-1}$$
$$\left(\frac{29}{45}\right)^{-1}$$
$$\frac{45}{29}$$
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$\frac{3 ^ {2} \cdot 5}{29} = 1\frac{16}{29} = 1.5517241379310345$
