Potenciación – wikipedia, la enciclopedia libre v gas llc

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( − a ) 1 = − a ( − a ) 2 = ( − a ) × ( − a ) = a 2 ( − a ) 3 = ( − a ) × ( − a ) ⏟ a 2 × ( − a ) = − ( a 3 ) ⋮ ( − a ) n = ( ( − a ) × ( − a ) ) × ⋯ × ( ( − a ) × ( − a ) ) ⏟ n par = a n ( − a ) n = ( ( − a ) × ( − a ) ) × ⋯ × ( ( − a ) × ( − a ) ) ⏟ n − 1 par por tanto es a n − 1 × ( − a ) ⏟ n impar ) = − ( a n ) , {\displaystyle {\begin{array}{ll}(-a)^{1}=-a\\(-a)^{2}=(-a)\times (-a)=a^{2}\\(-a)^{3}=\underbrace {(-a)\times gas in dogs causes (-a)} _{a^{2}}\times (-a)=-(a^{3})\\\vdots \\(-a)^{n}=\underbrace {((-a)\times (-a))\times \cdots \times ((-a)\times (-a))} _{n{\text electric utility companies charge customers for{ par}}}=a^{n}\\(-a)^{n}=\underbrace {\underbrace {((-a)\times (-a))\times \cdots \times ((-a)\times (-a))} _{n-1{\text{ par por tanto es }}a^{n-1}}\times (-a)} _{n{\text{ impar}}})=-(a^{n}),\end{array}}}

( 2) a − 1 = 1 a a − n = 1 a n {\displaystyle {\begin{array}{l}a^{-1}={\frac {1}{a}}\\a^{-n}={\frac electricity grounding works {1}{a^{n}}}\end{array}}} Observación a − n = ( a − 1 ) n = 1 a × ⋯ × 1 a ⏟ n = 1 a × ⋯ × a ⏟ n = 1 a n . {\displaystyle a^{-n}=(a^{-1})^{n}=\underbrace {{\frac {1}{a}}\times \cdots \times {\frac {1}{a}}} _{n}={\frac {1}{\underbrace hp gas online booking hyderabad {a\times \cdots \times a} _{n}}}={\frac {1}{a^{n}}}.} División de potencias de igual base [ editar ]

= a × ⋯ × a ⏞ m a × ⋯ × a ⏟ n {\displaystyle ={\frac {\overbrace {a\times \cdots \times gas stoichiometry lab a} ^{m}}{\underbrace {a\times \cdots \times a} _{n}}}} = { a × ⋯ × a ⏞ n × a × ⋯ × a ⏞ m − n a × ⋯ × a ⏟ n = a m − n Si m n a × ⋯ × a ⏞ m a × ⋯ × a ⏟ n = 1 Si m = n a × ⋯ × a ⏞ m a × ⋯ × a ⏟ m × a × ⋯ × a ⏟ n − m = 1 a n − m Si m n\\{\frac {\overbrace {{\cancel {a}}\times \cdots \times {\cancel {a}}} ^{m}}{\underbrace {{\cancel {a}}\times \cdots \times {\cancel {a}}} _{n}}}=1{\text electricity cost in california{Si }}m=n\\{\frac {\overbrace 5 gases in the atmosphere {{\cancel {a}}\times \cdots \times {\cancel {a}}} ^{m}}{\underbrace {{\cancel {a}}\times \cdots \times {\cancel {a}}} _{m}\times \underbrace {a\times \cdots \times a} _{n-m}}}={\frac {1}{a^{n-m}}}{\text{Si }}m

La potenciación con exponente racional viene electricity physics de la necesidad de resolver una ecuación del tipo x n = a {\displaystyle x^{n}=a} , de manera que x = a n {\displaystyle k electric share price forecast x={\sqrt[{n}]{a}}} , pero se ha de garantizar que dicha x sea un número real y esto sólo se puede garantizar para todo n si la base a es un número real positivo gas laws worksheet pdf, por lo que existe un teorema que dice:

( 4) a n m = a n m a − n m = 1 a n m {\displaystyle {\begin{array}{ll}a^{\frac {n}{m}}={\sqrt[{m}]{a^{n}}}\\a^{-{\frac {n}{m}}}={\frac {1}{a^{\frac {n}{m}}}}\end{array}}} Relación a n 1 m 1 = a n 2 m 2 ⇔ {\displaystyle a^{\frac 9gag instagram logo {n_{1}}{m_{1}}}=a^{\frac {n_{2}}{m_{2}}}\Leftrightarrow } n 1 m 1 = n 2 m 2 {\displaystyle {\frac {n_{1}}{m_{1}}}={\frac {n_{2}}{m_{2}}}}

n 1 m 1 = n 2 m 2 ⇒ {\displaystyle electricity labs for middle school {\frac {n_{1}}{m_{1}}}={\frac {n_{2}}{m_{2}}}\Rightarrow } n 1 ⋅ m 2 = n 2 ⋅ m 1 {\displaystyle n_{1}\cdot m_{2}=n_{2}\cdot m_{1}} a n 1 m 1 = a n 2 m 2 ⇔ {\displaystyle a^{\frac {n_{1}}{m_{1}}}=a^{\frac {n_{2}}{m_{2}}}\Leftrightarrow } ( a n 1 m 1 ) m 1 ⋅ m 2 = ( a n 2 m 2 ) m 1 ⋅ m 2 ⇔ {\displaystyle \left(a^{\frac {n_{1}}{m_{1}}}\right)^{m_{1}\cdot m_{2}}=\left(a^{\frac {n_{2}}{m_{2}}}\right)^{m_{1}\cdot m_{2}}\Leftrightarrow } a n 1 ⋅ m 2 = a m 1 ⋅ n 2 . {\displaystyle a^{n_{1}\cdot walmart with a gas station near me m_{2}}=a^{m_{1}\cdot n_{2}}.}

Propiedades [ editar ] a n 1 m 1 ⋅ a n 2 m 2 = a n 1 m 1 + n 2 m 2 , {\displaystyle a^{\frac {n_{1}}{m_{1}}}\cdot a^{\frac {n_{2}}{m_{2}}}=a^{{\frac {n_{1}}{m_{1}}}+{\frac {n_{2}}{m_{2}}}},} ( a n 1 m 1 ) n 2 m 2 = a n 1 m 1 ⋅ n 2 m 2 , {\displaystyle eur j gastroenterology hepatology impact factor \left(a^{\frac {n_{1}}{m_{1}}}\right)^{\frac {n_{2}}{m_{2}}}=a^{{\frac {n_{1}}{m_{1}}}\cdot {\frac {n_{2}}{m_{2}}}},} ( a ⋅ b ) n m = a n m ⋅ b n m . {\displaystyle (a\cdot b)^{\frac {n}{m}}=a^{\frac {n}{m}}\cdot b^{\frac {n}{m}}.} Exponente real [ editar ]