Examples #[Negative and zero exponents][Exponentes negativos y cero]#
#[If $a$ is a real number other than zero and $n$ is a positive integer, then we define.][Si $a$ es un número real distinto de cero y $n$ es un número entero positivo, entonces definimos.]#

$a^0 = 1$	#[The zeroth power of $a$ is $1.$][El ceroº poder de $a$ is $1.$]#
$a^{-n} = \dfrac{1}{a^n} = \dfrac{1}{a \cdot a\cdot a\ \cdots \ a} \qquad $ ($n$ #[times][veces]#).

#[Therefore][Por lo tanto]#,

$a^{-1} = \dfrac{1}{a}$
$a^{-2} = \dfrac{1}{a^2} = \dfrac{1}{a \cdot a}$
$a^{-3} = \dfrac{1}{a^3} = \dfrac{1}{a \cdot a \cdot a}$
$a^{-4} = \dfrac{1}{a^4} = \dfrac{1}{a \cdot a \cdot a \cdot a}$

#[and so on.][y así sucesivamente.]#

#[Examples][Ejemplos]#

$3^0 = 1; \qquad 654^0 = 1; \qquad \pi^0 = 1$
$3^{-1} = \dfrac{1}{3}$
$3^{-2} = \dfrac{1}{3^2} = \dfrac{1}{9}$
$2^{-3} = \dfrac{1}{2^3} = \dfrac{1}{8}$
$1^{-34} = \dfrac{1}{1^{34}} = \dfrac{1}{1} = 1$
$(-1)^{-3} = \dfrac{1}{(-1)^3} = \dfrac{1}{-1} = -1$
$2^33^{-2} = 2^3 \cdot \dfrac{1}{3^2} = \dfrac{2^3}{3^2} = \dfrac{8}{9}$

#[Some for you][Algunos para ti]#