Exponent or Index:

When a number (let a) is multiplied by itself multiple time(let n times) then we represent this case by adding “n” superscription to “a” as given below:

aⁿ

When , a number is repeatedly multiplied by itself the number of times the number is multiplied by itself is is called the exponent or index.

For example:

In

aⁿ

“n” is the index or exponent of base “a”.

Laws of Exponents or Indices:

The rules which gives meaning to expression with exponent is known as laws of indices. And the laws of indices are:

aⁿ = a×a×a×…………..n^th Term

a^-n=1/aⁿ

a^p/q = a^p/a^q = (a^p)^1/q

a^m×aⁿ=a^m×n