Definition:

The representation of a number in the form: X ^y
where x and y are integers is called an exponential representation.

The integer X is called the base and Y is called the exponent.

Exponents are used as a short way to represent a number. The exponent is the number of times the base is multiplied by itself. Sometimes the operator ^ is used to represent an exponent.

X ^y = X ^ y

Here are some examples:

• 27 can be represented as 3³
  Did you know that this is same as 3 multiplied by itself 3 times?
  
  27 = 3³ = 3 x 3 x 3
  

• 32 can be represented as 2⁵
  You guessed right, this can also be represented as 2 multiplied by itself 5 times.
  
  32 = 2⁵ = 2 x 2 x 2 x 2 x 2

• 1,000,000 can be represented as 10 ⁶
  That is a short way to represent 10 multiplied by itself 6 times.

  Try to draw a picture like those above to show that
  10 ⁶ is really 1,000,000. Remember:

  1,000,000 = 10⁶ = 10 x 10 x 10 x 10 x 10 x 10