Respuesta :

Option 4: [tex]\frac{12x+20}{5y^3}[/tex] is the right answer

Step-by-step explanation:

Given expression is:

[tex](\frac{3x+5}{y^6})(\frac{4y^3}{5})[/tex]

y^6 can be written as y^3.y^3

[tex](\frac{3x+5}{y^3.y^3})(\frac{4y^3}{5})[/tex]

The y^3 in numerator of one fraction and denominator of other fration will be cancelled

So,

[tex]=(\frac{3x+5}{y^3})(\frac{4}{5})\\=\frac{4(3x+5)}{5y^3}\\=\frac{12x+20}{5y^3}[/tex]

Hence,

Option 4: [tex]\frac{12x+20}{5y^3}[/tex] is the right answer

Keywords: Exponents, fractions

Learn more about fractions at:

  • brainly.com/question/4793866
  • brainly.com/question/4824362

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