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# Online index calculation

Category:

### APP description

An index is a form of arithmetic of a rational number, which represents the relationship of several factors multiplied by the same factor, such as:

The 3rd power of 2 = 2 * 2 * 2 = 8, 2 of the 3rd power where 2 is the base, 3 is the exponent, and 8 is the power, which is the result.

1.$$a^m \times a^n=a^{m+n}$$

2.$$\frac {a^m}{a^n} =a^{m-n}$$

3.$$(a^m)^n=a^{m \times n}$$

4.$$(ab)^n=a^n \times b^n$$

5.$$(a/b)^n=a^n/b^n$$

6.$$a^0=1$$ (a≠0)

### Usage example

Base: 5

Index: 2

Click "Calculate" to output the result

Results: 25