mohosina80 mohosina80
  • 22-03-2020
  • Mathematics
contestada

Use radical notation to rewrite each expression and simplify
9 3/2

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 23-03-2020

Answer:

  [tex]9^{\frac{3}{2}}=\sqrt{9^3}=27[/tex]

Step-by-step explanation:

The fractional exponent m/n is often translated to radical form as ...

  [tex]x^{\frac{m}{n}}=\sqrt[n]{x^m}[/tex]

In this case, I find it easier to evaluate as ...

  [tex]x^{\frac{m}{n}}=(\sqrt[n]{x})^m=\boxed{(\sqrt{9})^3=3^3=27}[/tex]

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