RichLo18 RichLo18
  • 20-07-2018
  • Mathematics
contestada

what is the value of x in this simplified expression? (-j)^-7=1/(-j)^x

Respuesta :

gmany
gmany gmany
  • 20-07-2018

[tex]x=7\\\\\text{because}\\\\a^{-n}=\dfrac{1}{a^n};\ a\neq0\\\\(-j)^{-7}=\dfrac{1}{(-j)^7}[/tex]


[tex]\text{Minus in a power means inverse.}[/tex]


[tex]a^{-1}=\dfrac{1}{a}\\\\(-j)^{-7}=(-j)^{7\cdot(-1)}=\left[(-j)^7\right]^{-1}=\dfrac{1}{(-j)^7}\\\\\text{Used:}\\\\(a^n)^m=a^{n\cdot m}[/tex]


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