**Exponents and Power Laws of Exponent** :

Exponents and Power Laws of Exponent

**x **is the ** BASE**, m is the

**and**

__EXPONENT__**x**is the

^{m}**of**

__POWER__**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 = 4^{3}

Here,

** 4** multiplied **three** times by itself and so the **power** of ** 4** can be written as

**4**or

^{3}**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 x ^{0 }= 1**

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

**So, we have,**

**Hence, Proved.**

Also read – **National Mathematics Day of India –राष्ट्रीय गणित दिवस**

**Learn Mathematics – गणित में रूचि कैसे बढाए?**

## 1 thought on “Base, Exponents and Power Laws of Exponent”