Exponentiation

Math

Exponentiation is an operator which is repeated multiplication.

It looks like this: \(a^b=\underbrace{a\times a\times ...\times a\times a}_{b}\), or a multiplied b times.

Squaring
Squaring the number would mean multiplying by a number itself once.

For example, 62 = 6 &times; 6.

A square number is a positive integer where it is an integer squared. For example, 144 is a square number as it is 12 &times; 12. Or, a square number is of the form \(n^2\).

Cubing
Cubing a number would mean multiplying by a number itself twice.

For example, 83 = 8 &times; 8 &times; 8.

A perfect cube (cube number) is a number which is the cube of an integer. So, 512 is a perfect cube.