$$(3^{0}+2^{-1})\div2^{-2}$$
$6$
$$\frac{1+2^{-1}}{2^{-2}}$$
$$\frac{1+\frac{1}{2}}{2^{-2}}$$
$$\frac{\frac{3}{2}}{2^{-2}}$$
$$\frac{\frac{3}{2}}{\frac{1}{4}}$$
$$\frac{3}{2}\times 4$$
$$6$$
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$2\times 3$