davidpisarev98
davidpisarev98 davidpisarev98
  • 14-06-2020
  • Mathematics
contestada

simplify and show your work

simplify and show your work class=

Respuesta :

09pqr4sT
09pqr4sT 09pqr4sT
  • 14-06-2020

Answer:

[tex]\frac{27}{16} x^{2} y^{3}[/tex]

Step-by-step explanation:

[tex]\frac{27x^{6} y^{15} }{16x^{4} y^{12} }[/tex]

[tex]\frac{27}{16} x^{2} y^{3}[/tex]

Answer Link
mathstudent55
mathstudent55 mathstudent55
  • 14-06-2020

Answer:

[tex] \dfrac{27x^2y^3}{16} [/tex]

Step-by-step explanation:

[tex]\dfrac{(3x^2y^5)^3}{(2xy^3)^4} =[/tex]

[tex] = \dfrac{3^3x^{2 \times 3}y^{5 \times 3}}{2^4x^4y^{3 \times 4}} [/tex]

[tex]= \dfrac{3^3x^6y^{15}}{2^4x^4y^{12}}[/tex]

[tex] = \dfrac{27}{16}x^{6-4}y^{15-12} [/tex]

[tex] = \dfrac{27x^2y^3}{16} [/tex]

Answer Link

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