What is the product of the expressions? Assume y does not equal 0.
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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
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