A perfect square.
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It is an array with the same number of rows and columns.
4th
Yes, if it is described as such.
Yes, a unit array.
A square is called "second power" because a square number is a number, in which its factors are "2" of the same number, ( ex, 1 x 1, 2 x 2, 3 x 3,etc). So, in other words, the "first" factor is a certain number, and the "second" number is the same number. You are using the same number 2 times in order to get the product, which is the square number.A square number physically forms a square. You can see this by taking 1 inch square pieces of paper and taking any square number ( 2, 4, 16, etc) and making it into an array - it is a perfect square. If you take a number, which is not a square number, it cannot pysically form a square, no matter how you try.A cubed number is the same, it physically forms a cube.