Category:Sum of Indices of Real Number

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This category contains pages concerning Sum of Indices of Real Number:


Let $r \in \R_{> 0}$ be a (strictly) positive real number.


Positive Integers

Let $n, m \in \Z_{\ge 0}$ be positive integers.

Let $r^n$ be defined as $r$ to the power of $n$.


Then:

$r^{n + m} = r^n \times r^m$


Integers

Let $n, m \in \Z$ be integers.

Let $r^n$ be defined as $r$ to the power of $n$.


Then:

$r^{n + m} = r^n \times r^m$


Rational Numbers

Let $x, y \in \Q$ be rational numbers.

Let $r^x$ be defined as $r$ to the power of $n$.


Then:

$r^{x + y} = r^x \times r^y$

Pages in category "Sum of Indices of Real Number"

The following 4 pages are in this category, out of 4 total.