Roxybrr4722 Roxybrr4722
  • 21-10-2019
  • Mathematics
contestada

Show that each expression is equivalent to 2x. Assume x is a positive real number
6x^3/(3√27x^6)

Respuesta :

aristeus aristeus
  • 23-10-2019

Answer and explanation

We have given equation [tex]\frac{6x^3}{\sqrt[3]{27x^6}}[/tex]

We have to prove that after operation it will be equal to 2x

We know that cube root of 27 is 3

And cube root of [tex]x^6[/tex] is [tex]x^2[/tex]

So we can write the expression [tex]\frac{6x^3}{\sqrt[3]{27x^6}}=\frac{6x^3}{3x^2}=2x[/tex]

So after doing operation on the given expression the result will be 2x

Hence proved

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