\"\"

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Given expression is \"\" \ \

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Substitute n = 3 in the given expression.

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\"\"

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\"\"                                  (Evalute powers: \"\") \ \ \"\"                                       (Subtract: \"\")

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\"\"                                             (Add: \"\")

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Express the number as a product of its factors.

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The factors of 47: 

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47 = 1 × 47.

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Since the number has exactly two factors, 1 and itself. The number is a prime number.

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\"\"

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The number 47 is a prime number.