tyieast9317
tyieast9317 tyieast9317
  • 07-09-2019
  • Mathematics
contestada

(3t^5)^-3
A 9/t^15
B 3/t^15
C 27/t^15
D 1/27t^15


(x/2y^5)^-2
A x^2/4y^10
B 4y^25/x^2
C 4y^10/x^2
D x^2/4y^25

Respuesta :

tramserran
tramserran tramserran
  • 07-09-2019

Answer:  [tex]\bold{D)\quad \dfrac{1}{27t^{15}}}[/tex]        [tex]\bold{C)\quad \dfrac{4y^{10}}{x^2}}[/tex]

Step-by-step explanation:

The negative flips the numerator to the denominator and vice versa.

[tex](3t^5)^{-3}\quad =\dfrac{1}{(3t^5)^{3}}\quad =\dfrac{1}{3^3\cdot t^{5\cdot 3}}\quad =\large\boxed{\dfrac{1}{27t^{15}}}[/tex]

[tex]\bigg(\dfrac{x}{2y^5}\bigg)^{-2}\quad =\bigg(\dfrac{2y^5}{x}\bigg)^2\quad =\dfrac{2^2\cdot y^{5\cdot 2}}{x^2}\quad =\large\boxed{\dfrac{4y^{10}}{x^2}}[/tex]

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