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  • 30-11-2019
  • Mathematics
contestada

Simplify Rational Expression 8^8/3​

Respuesta :

gmany
gmany gmany
  • 01-12-2019

Answer:

[tex]\large\boxed{8^\frac{8}{3}=256}[/tex]

Step-by-step explanation:

[tex]a^\frac{m}{n}=\sqrt[n]{a^m}=\left(\sqrt[n]{a}\right)^m\\\\\text{We have}\ 8^{\frac{8}{3}}\\\\\text{Calculate:}\\\\8^\frac{8}{3}=\left(\sqrt[3]{8}\right)^8=2^8=256\\\\\sqrt[3]8=2\ \text{because}\ 2^3=8[/tex]

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