acmlacie acmlacie
  • 11-04-2019
  • Mathematics
contestada

what expression is equivalent to (x^4/3x^2/3)^1/3?

Respuesta :

gmany
gmany gmany
  • 15-04-2019

Answer:

[tex]\large\boxed{x^\frac{4}{3}}[/tex]

Step-by-step explanation:

[tex]\left(x^\frac{4}{3}x^\frac{2}{3}\right)^\frac{1}{3}\qquad\text{use}\ a^na^m=a^{n+m}\\\\=\left(x^{\frac{4}{3}+\frac{2}{3}}\right)^\frac{1}{3}=\left(x^\frac{6}{3}\right)^\frac{1}{3}=(x^2)^\frac{1}{3}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\=x^{(2)\left(\frac{2}{3}\right)}=x^{\frac{4}{3}}[/tex]

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