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Mathematics

If you raise a number to a negative power, can the resulting number be greater than the original number? Justify your answer by giving suitable examples.

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Answer

Yes, if the base is a fraction between 0 and 1, raising it to a negative power results in a large number.

Example 1: Let the number be 0.2

Then, 0.2-1

10.2\dfrac{1}{0.2}

⇒ 5, which is greater than original number.

Hence, yes if the base is a fraction between 0 and 1.

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