reply on: [Not-so-daily puzzle] Playing with exponents \ stacker news ~science

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2^{200} = 2^{100 * 2} = 2^{10 * 2} = 2^{2 * 10 * 2} = 2^{5 * 4 * 2} = (4 * 2)^{4 * 2} = a^{a}

Hence, $a = 4 * 2$ and $a^{2} = 32$ .