estellastillman
estellastillman estellastillman
  • 18-07-2020
  • Mathematics
contestada

Which option lists and expression that is not equivalent to 4 2/3?
0.25^3/2
(3 √4)^2
3 √16
0.25^-2/3

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 18-07-2020

Answer:

  [tex]\textbf{A. }0.25^{3/2}[/tex]

Step-by-step explanation:

Perhaps your answer choices are ...

  [tex]\textbf{A. }0.25^{3/2}\\\textbf{B. }(\sqrt[3]{4})^2\\\textbf{C.}\sqrt[3]{16}\\\textbf{D. }0.25^{-2/3}[/tex]

Of these, the one that is not equivalent to 4^(2/3) is ...

  [tex]\boxed{\textbf{A. }0.25^{3/2}}[/tex]

The value of this is ...

  [tex]\left(\dfrac{1}{4}\right)^{3/2}=\sqrt{\dfrac{1}{4^3}}=\dfrac{1}{8}\ne4^{2/3}=\sqrt[3]{16}=(\sqrt[3]{4})^2[/tex]

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