fmkennedy2005 fmkennedy2005
  • 08-12-2021
  • Mathematics
contestada

Why is cube root of 9 equal to 9 to the one third power question mark

Respuesta :

fernandoliberato fernandoliberato
  • 08-12-2021

Answer:

3

just because

Answer Link
goddessboi goddessboi
  • 08-12-2021

Answer:

See below

Step-by-step explanation:

[tex]\sqrt[3]{9}=9^{\frac{1}{3}}[/tex]

[tex](\sqrt[3]{9})^3=(9^{\frac{1}{3}})^3[/tex]

[tex]9=9^{\frac{1}{3}*3[/tex]

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

[tex]9=9^1[/tex]

[tex]9=9[/tex]

Remember that [tex](a^b)^c=a^{b*c}[/tex]

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