# Base, Exponents and Power Laws of Exponent

## Exponents and Power Laws of Exponent :

Exponents and Power Laws of Exponent x is the BASE, m is the EXPONENT and xm is the POWER of x

Let us know the difference between Exponent and Power. These two mathematical terms seems to be similar to each other but they are actually different.

Let illustrate with one example:

We can write the expression for 64 as

64 = 4 × 4 × 4 = 43

Here,

4 multiplied three times by itself and so the power of 4 can be written as 43 or 64

Again, we have

4  multiplied three times by itself, so 4 is the base and 3 is the exponent.

In general, the number of times with which a term (Number/Variable) multiplied by itself is refer to as Exponent of the term

The term (Number/Variable) which repeatedly multiplied by itself is refer to as Base.

The evaluated value of the term (Number/Variable) multiplied by itself is refer to its Power.

Laws of Exponents:

Exponents and Power Laws of Exponent

This is one of the most important fundamental concepts in Mathematics. Future concepts of Mathematics along with Physics, Chemistry and other subjects too are based on these fundamental concepts. Once fully understood the fundamental concepts related to laws of exponent, the reader will be able to solve all types of problems related to it in a simple and effective way. The use of Mathematical Operators viz., Addition (+), Subtraction (–), Division (÷) and Multiplication (÷) in various subjects/field can be understood through Laws of Exponents mentioned as under: Let us prove that x0 = 1

Based on the concept that any number (except 0) divided by itself is 1.

So, we have, Hence, Proved.

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