Respuesta :

Solution

1953125 = 5^9

It is prime factorization of a single number 5 itself 9 times.

Perfect square is the number that multiplied itself.

Here the power of 5 is 9, which is odd number. Therefore, it is not a square number or perfect square.

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fichoh

Square numbers expressed to the power of a certain value, will always have the value being even. That is since the power of 5 is 9, which is odd and not even, then 1953125 cannot be a square number.

The power to which a value is raised, gives an hint about the result of being a square number or not.

Values with odd powers will have the result not being a square number. While even powers will have the result being square numbers.

Therefore, since 9 is odd, the value 1953125 cannot be a square number

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