10 = 2*5 (prime decomposition)
So for a power of 10 to be a square means that the powers its factors must be even. A power of 10 is a square if it contains an even number of factors of 2 and 5. Since 503 is an odd number, 10^503 has an odd number of powers of 2 and 5, so it can't be the square of an integer.
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When you multiply a number by itself, you get the "second power" of the number.That's also called the "square" of the number.Here are some examples:The second power of 5 is (5 x 5) = 25.The second power (square) of 10 is (10 x 10) = 100.The square (second power) of 6 is (6 x 6) = 36.The square of 3.1 is (3.1 x 3.1) = 9.61.
The square root of 2 to the power of 10 = 32
the square of 10 is 100.
No.
it has no square root