**Indices**?" the novice to this maths topics asked.

"They are nothing but numbers with flying numeric powers!" said the maths teacher.

Here I move forward explaining the details of Indices.

Sit back and relax.......**Format of Indices** is a^{x }= y.**NOTE**: The power "x" should be written small.

There are three basic Laws of Indices:

1) **Product Law of Indices****a ^{n} x a^{m} = a ^{(n + m)}**

Example: a

^{3}x a

^{2}= a

^{5}

2)

**Quotient Law of Indices**

**a**

^{n}/ a^{m}= a^{(n-m)}Example: a

^{7}/ a

^{2}= a

^{(7-2)}= a

^{5}

3)

**Power Law of Indices**

**(a**

^{n})^{m}= a^{nm}Example: (a

^{2})

^{4}= a

^{8}

**(a / b)**

^{n}= a^{n}/ b^{n}Example: (K / Y)

^{2}= K

^{2}/ Y

^{2}

The above are Laws that any maths students must know. However, these laws also produce sub-laws (special laws) from them. See below.

**Special Laws of Indices**:

- a
^{0}= 1 - 1 / a
^{n}= a^{-n}

The 2 special laws stated above are nothing new. They only have their variable replaced with the number 0, and 1 to extract commonly used operation.

:-)

.

## 5 comments:

good site, although i needed four basic indices

nicely explained! please try to give detailed explanation for 'Special Laws of Indices'.

:)

wow, i never once needed help with math till this moment, very nice site, it really helped me understand what i didnt, thank yovery much.

what about fractional indices??

Fractional indices involve "roots" of a variable.

If the index is "half" or (1/2), the operation is square root of the variable.

If the index is (1/3), the operation is cube root of the variable.

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