# 7th Class Mathematics Exponents and Power Introduction

## Introduction

Category : 7th Class

### Introduction

For any natural number p, the exponent is defined as: ${{p}^{n}}=p\times p\times p.........$(up to n times), where ${{p}^{n}}$ is called ${{n}^{th}}$ power of p and read as "p raised to the power n".

Write 2401 in exponential form.

Solution: $7\times 7\times 7\times 7={{7}^{4}}$and $\left( -7 \right)\times \left( -7 \right)\times \left( -7 \right)\times \left( -7 \right)=\left( -7 \right)4.$ Here ${{7}^{4}}$and ${{\left( -7 \right)}^{4}}$are said to be exponential form of 2401.

Note: $a{}^\circ =1$for all rational number 'a', but in the case of negative exponent it is expressed as ${{(a)}^{-n}}$and is called the exponent of base "a" is $-n$and it can also be defined as ${{a}^{-n}}=\frac{1}{{{a}^{n}}}.$

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