This equation shows the definition of the exponentiation operation, given a base (\( \htmlClass{sdt-0000000003}{x} \)) and an exponent \((\htmlClass{sdt-0000000017}{y})\). It can be thought of, in plain english, as multiplying the base, in this case \( \htmlClass{sdt-0000000003}{x} \), by itself the exponent (in this case \( \htmlClass{sdt-0000000017}{y} \)) amount of times. Simpler: \( \htmlClass{sdt-0000000003}{x} \) is multiplied by itself \( \htmlClass{sdt-0000000017}{y} \) times. In product notation, it is...
| \( x \) | This is a symbol for any generic variable. It can hold any value, whether that be an integer or a real number, or a complex number, or a matrix etc. |
| \( y \) | This is a secondary symbol for any generic variable. It can hold any value, whether that be an integer or a real number, or a complex number, or a matrix etc. |
| \( i \) | This is the symbol for an iterator, a variable that changes value to refer to a sequence of elements. |
| \( \prod \) | This is the product symbol in mathematics, denoted as the uppercase Greek letter Pi. It is used to indicate the product of a sequence of factors. |
This is by definition
This is going to be...
\[ 3 \cdot 3 \cdot 3 \cdot 3 \cdot 3\]
which evaluates to the value \(243\).