LEARN MATH STEP BY STEP THROUGH VERY EASY PROCESS

EXPONENTS

__Exponents __

**When a number is
multiplied by itself repeatedly, then the product is called a power of a
number. The number itself is called the base and the number of times it is
multiplied is called the index or exponent.**

__Example
-1__

**In four times we
doing multiplication of the same number three and it can be written as = 3 x 3 x 3
x 3 = 3****⁴**** (Here read as 3 to the power 4)**

__Example
-2__

**In five times we
doing multiplication of the same number six and it can be written as = 6 X 6 X 6 X
6 X 6 = 6****⁵**** (Here read as 6 to the power 5 )**

**It can be remembered
that – if ( x to the power zero ‘0’ ) x****⁰**** =1 **

**
( x to the power one ‘1’ ) x¹ = x**

**Classification
of numbers ****-A
number is called an Even numbers, if it is a multiple of 2 and for your
information 2 is a factor of every even number. For example 4, 8, 16, 20, 24, 26, 32 are
even numbers.**

**A number is called an
Odd number if it is not a multiple of 2 and in the other words, an odd number is not
exactly divisible by 2.**

**For example
–**** 1, 3, 5, 7, 9,
11, 13, 15, 17, 19………**

**A number will be called as Prime numbers or Prime if it has no other factors except 1 and itself, for
example - 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41,…… are some
prime numbers and 2 is the only prime number and it is the smallest prime
number but 1 is not considered as Prime number.**

**A number will be called as a Composite Number if it is a product of two or more prime numbers. 4, 6, 8, 9and
10 are some composite numbers.**

**Two natural numbers
are called Co-prime numbers if they do not have a common factor except 1. For
example, 3 & 4; 15 & 17; and 11 & 14 are co-prime numbers.**

**The process of
writing a number as a product of prime numbers is called Prime factorization. If the same factor is
repeated in the process, it is more convenient to express the factorization in
the exponential form. **

**Example- 1) 625 = 5
X 5 X 5 X 5 = 5****⁴**

**
2) 8960 = 2 X 2 X 2 X 2 X 2 X 2 X 2 X 2 X 2 X 7 X 7 **

** = 2****⁹**** X 7****² **