Laws of indices

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"Law of Indices" Description and Explanation with videos
Laws of indices

Indices are a useful way expressing large numbers in a simple way. They also provide us with many useful properties for manipulating them using what are called the Law of Indices.There are six laws of indices. They are as follows:

1. Product Law:

To multiply expressions with the same base, we copy the base and add the indices.For example,http://mathematics.laerd.com/maths/img/indices/indices-intro-6.jpg

2. Quotient Law:

To divide expressions with the same base, we copy the base and subtract the indices.

For example,

http://mathematics.laerd.com/maths/img/indices/indices-intro-9.jpg

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3. Root Law:

http://mathematics.laerd.com/maths/img/indices/indices-intro-14.jpg

4. Zero Law:

Any number, except 0, whose index is 0 is always equal to 1, regardless of the value of the base.

For example,

http://mathematics.laerd.com/maths/img/indices/indices-intro-3.jpg

5. Power Law:

To raise an expression to the nth index, we copy the base and multiply the indices.

For example,

http://mathematics.laerd.com/maths/img/indices/indices-intro-12.jpg

6. Negative Law:

http://mathematics.laerd.com/maths/img/indices/indices-intro-4.jpg

With the help of these laws, we can solve any kind of problems related to Laws of Indices.

Things to remember
  • There are six laws of indices. They are as follows:
  • - product law
  • -quotient law
  • -root law
  • -zero law
  • -power law
  • -negative law
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Videos for Laws of indices
? Index laws - Further Indices - Addition of Indices - Subtraction of Indices - Algebra
Basc laws of indices
How to work with indices (powers).wmv
Quiz

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