Laws of Indices

 

'Indices' is the plural form of 'index'. And, index means the power of any number or variable term, which is called a base. Power or index is also known as an exponent.

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There are certain rules which are used to solve the problems of indices. These rules are called the laws of indices. Some laws of indices are as follows: 

Laws of Indices

Problems involving laws of indices

Example 1: Find the value of: 27^4/3

 

Solution:

 

Here, 

Example 2: Find the value of: (2401)^-1/4

 

Solution:

 

Here,

Example 3: Find the value of: 

 

Solution:

 

Here,

       

Example 4: Find the value of: 

Solution:

 

Here,

 Example 5: Find the value of: 

Solution:

 

Here, 

 

Example 6: Simplify: 

Solution:

 

Here,         

 

Example 7: Simplify: 

Solution:

 

Here, 

Example 8: Simplify: 

Solution:

 

Here, 

     

Example 9: Simplify: 

Solution:

 

Here,

     

 

Example 10: Find the value of: 

Solution:

 

Here,

  

 

If you have any question or problems regarding the law’s  of indices, you can ask here, in the comment section below.

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