Suppose we have to multiply 3 hundred times and we have to write them. It will take a lot of space. If we create a notation in which we write as the following

- 3×3 = 3
^{2}
- 3×3×3 = 3
^{3}
- 3×3×3×3 = 3
^{4}
- 3×3×3×3×3×3×3 = 3
^{7}
- Using this procedure we can multiply 3 hundred times and express it as 3
^{100}

The above notation can be written as a

^{b} = c.

a is called the

** base**, b is called the

**exponent or index.**

There are several laws which can be followed to simplify equations in exponents.

**Product Law**:

**Quotient Law**:

**Power Law**:

^{n}√(a^{m}) = a^{m/n}**
****a**^{1} = a **
****1 = a**^{k}/a^{k} = a^{k-k} = a^{0}

So, a^{0} = 1, a≠0 **
****a**^{-k} = a^{0-k} = a^{0}/a^{k} = 1/a^{k}, a≠0**
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