braydenmccoy5 braydenmccoy5
  • 06-12-2021
  • Mathematics
contestada

Find the missing factor

Find the missing factor class=

Respuesta :

cinderofsoulsss
cinderofsoulsss cinderofsoulsss
  • 06-12-2021

Answer:

[tex](x^4y^5)(x^2y^4)[/tex]

Step-by-step explanation:

Keep these things in mind:

[tex]x^3\times x^3=x^{3+3}=x^6\\\\(x^3)^3=x^{3\times3}=x^9[/tex]

Using those, simplify the left side of this equation:

[tex](x^2y^3)^3\\x^6y^9[/tex]

Now we know what the exponents need to become, so we can find the difference between those and what we have on the right:

[tex]6-4=2\\9-5=4[/tex]

We need to add a 2 to the x, and add a 4 to the y.

[tex](x^4y^5)(x^2y^4)[/tex]

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