Determine the number of multiplications

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Question: Determine the number of multiplications used to find \(x^{2^{k}}\) starting with x and successively squaring (to find \(x^{2}, x^{4}, \) and so on). Is this a more efficient way to find \(x^{2^{k}}\) than by multiplying x by itself the appropriate number of times?

Please show all your work and give an explanation of steps

Reference no: EM13703752

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