**'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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X to the power y equal to y to the power x .x equal twice y .

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