- Exponents are used to express large numbers in shorter form to make them easy to read, understand, compare and operate upon.
- a × a × a × a = a4 (read as ‘a’ raised to the exponent 4 or the fourth power of a), where ‘a’ is the base and 4 is the exponent and a4 is called the exponential form. a × a × a × a is called the expanded form.
- For any non-zero integers ‘a’ and ‘b’ and whole numbers m and n, (

- am × an = am+n
- am ÷ an = am–n , m>n
- (am) / n = amn
- am × bm = (ab) / m
- am ÷ bm = (a/b )m
- a0 = 1
- (–1)even number = 1
- (–1)odd number = –1

- Any number can be expressed as a decimal number between 1.0 and 10.0 (including 1.0) multiplied by a power of 10.
- Such form of a number is called its standard form or scientific notation.

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