cmack200780 cmack200780
  • 13-08-2022
  • Mathematics
contestada

which expression is equivalent to(xy^5)^2(3x^4y)^3

Respuesta :

jesscmheasley jesscmheasley
  • 13-08-2022

Answer:

27[tex]x^{14}[/tex][tex]y^{13}[/tex]

Step-by-step explanation:

When a power is raised to a power, you multiply the exponents. If you do not see an exponent, it is understood that the exponent is one.

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

[tex]x^{2}[/tex][tex]y^{10}[/tex][tex]3^{3}[/tex][tex]x^{12}[/tex][tex]y^{3}[/tex]  Now we multiple 3(3)(3) to get 27 and we add the exponents for the variables that are the same.

27[tex]x^{14}[/tex][tex]y^{13}[/tex]

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