# Laws of Exponents

The laws of exponents are used for rationalization. They are applied and it has been used while solving the problems.

**Multiplication:**

**Example :**Â

=Â

We can say in general as,Â .

Â

**Division:**

We follow the same rule for division too.

.

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**Example :Â **

=Â

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**Powers:**

Here we are applying the laws of exponents.

(i) (*x ^{m}*)

^{n}=

*x*

^{mn}(ii)*x ^{ n} y^{ n}*

^{ }= (

*xy*)

^{n}

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**Examples :Â **

(3^{2})^{4}Â = 3^{2Â Â´Â 4Â }= 3^{8}

(6^{2}) (4^{2}) = (6Â Â´Â 4)^{2}Â = 24

^{2}