A number that is multiplied by itself is called a base when it is written in exponential notation. Exponential notation consists of the number to be multiplied and a numeral in superscript to the right of it to indicate the number of times it is to be multiplied by itself.
When the multiplication process is written out in full, the number is called a factor. The number may also be considered a multiplier or multiplicand when the equation is written this way.
The product of a number being multiplied by itself is called a square. The product of a number being multiplied by itself many times is called a power of that number. When the number being multiplied by itself is written in terms of the product of that multiplication, it is called the square root of the product.