# ABCDEFGHIJKLMNOPQRSTUVWXYZ

#### Quotient rules of exponents

Let $m$ and $n$ be positive integers and let $a$ represent a real number, a variable, or an algebraic expression. 1. $$\frac{{{a^m}}}{{{a^n}}} = {a^{m – n}}$$, $$m > n$$, $$a \ne 0$$. 2. $$\frac{{{a^n}}}{{{a^n}}} = 1 = {a^0}$$, $$a \ne 0$$.

Let $a$ and $b$ be real numbers, variables, or algebraic expressions. If the $n$th roots of $a$ and $b$ are real, then the following property is true. $$\sqrt[n]{{\frac{a}{b}}} = \frac{{\sqrt[n]{a}}}{{\sqrt[n]{b}}}$$, $$b \ne 0$$.

#### Quotient

The result of dividing one term by another.

The solutions of $$a{x^2} + bx + c = 0$$, $$a \ne 0$$, are given by $$x = \frac{{ – b \pm \sqrt {{b^2} – 4ac} }}{{2a}}$$.

An equation that can be written in the general form $$a{x^2} + bx + c = 0$$ where $a$, $b$, and $c$ are real numbers with $$a \ne 0$$.

The four regions the $x$- and $y$-axes separate the plane of a rectangular coordinate system into.