# 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: 274/3

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.