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G.M. of the given observations = $$\sqrt[\ 5]{\left(1\right)\left(4\right)\left(9\right)\left(27\right)\left(256\right)}$$
$$=\sqrt[\ 5]{1\times2^2\times3^2\times3^3\times2^8}$$
$$=\sqrt[\ 5]{2^{10}\times3^5}$$
$$=2^2\times3$$
$$=12$$
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