Question

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

Answer 1

`\textbf{A. }0.25^(3/2)`

Explanation:

Perhaps your answer choices are ...

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

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

`\boxed{\textbf{A. }0.25^(3/2)}`

The value of this is ...

`\left((1)/(4)\right)^(3/2)=\sqrt{(1)/(4^3)}=(1)/(8)\\e4^(2/3)=\sqrt[3]{16}=(\sqrt[3]{4})^2`