simplify and show your work

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:
[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]