Revision: Indices Maths SSC (English Medium) 7th Standard Maharashtra State Board

Exponents: An exponent is a numerical notation that indicates the number of times a number is to be multiplied by itself. Exponent is also called as power or index. Example, 7⁵.

Square numbers: A number which produces a specified number when multiplied by itself are known as square numbers.

Cube numbers: Numbers obtained when a number is multiplied by itself three times are known as cube numbers.

For any non-zero integer a, where m and n are whole numbers, a^m × aⁿ =a^{m + n}.

For any non-zero integer a, where m and n are whole numbers and m > n, a^m ÷ aⁿ = a^{m – n}.

If a is a non-zero rational number and m and n are integers, then (a^m)ⁿ = a^{m × n} = a^mn.

For any non-zero integer a, where m is any whole number, a^m × b^m = (ab)^m.

a^m ÷ b^m = `a^m/b^m = (a/b)^m`, where a, and b are any non-zero integers and m is a whole number.

a° = 1.

a¹ = a.

a^{- m} = `1/a^m`