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  • 20-12-2018
  • Mathematics
contestada

Simplify the expression where possible.
(r ^-3 s^2 t) ^4

Respuesta :

gmany
gmany gmany
  • 03-01-2019

[tex]Use\\\\(ab)^n=a^nb^n\\\\ (a^n)^m=a^{n\cdot m}\\-------------------\\\\\left(r^{-3}s^2t\right)^4=\left(r^{-3}\right)^4\left(s^2\right)^4(t)^4=r^{(-3)(4)}s^{(2)(4)}t^4\\\\=\boxed{r^{-12}s^8t^4}\to\boxed{\dfrac{s^8t^4}{r^{12}}}[/tex]

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