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Online index calculation



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

 

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