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Laws of Exponents | Exponents and Power Class 8 Maths | Class 8 maths chapter 12 | exponents and power | rational numbers | properties of exponents | rational exponents | class 8 maths | ncert solution for class 8 maths | ncert class 8 maths | ncert solution | cbse | ncert

Dear Students, in this video we are going to study a very important topic Laws of Exponents from Chapter Exponents and Power from CBSE Class 8 maths. Hope you find it helpful & interesting. Enjoy Learning!

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Powers and Exponents

Exponents and powers are ways, used to represent very large numbers or very small numbers in a simplified manner. For example, if we have to show 3x3x3x3 is a simple way, then we can write it as 34, where 4 is the exponent and 3 is the base. The whole expression 34 is said to be power.

The power of a number indicates the number of times it must be multiplied. It is written in the form of ab. Where ‘b’ indicates the number of times ‘a’ needs to be multiplied to get our result. Here ‘a’ is called the base and ‘b’ is called the exponent.

For example Consider 9³. Here the exponent ‘3’ indicates that base ‘9’ needs to be multiplied three times to get our equivalent answer which is 27.

Powers with Negative Exponents

A negative exponent in power for any non-integer is basically a reciprocal of the power.

In simple terms, for a non-zero integer a with an exponent -b, a-b = 1ab

Uses of Exponents

Inter Conversion between Standard and Normal Forms

Very large numbers or very small numbers can be represented in the standard form with the help of exponents.

If it is a very large number like 150,000,000,000, then we need to move the decimal place towards the left. And when we do so the exponent will be positive.

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