Question

Is 3^-2/3 same as 3^3/2?​

Answer 1

Answer:

No.  $3^{-2/3}$ is not same as  $3^{3/2}$

Step-by-step explanation:

=> $3^{-2/3}$ can also be written as 1/($3^{2/3}$)

$3^{-2/3}$ =  1/($3^{2/3}$) = 1/($\sqrt[3]{3^2}$)

1/($3^{2/3}$) = 1/($\sqrt[3]{9}$)

=> 1/($\sqrt[3]{9}$) can be written as 1/($\sqrt[3]{27/3}$ ) = $\sqrt[3]{3}$ / $\sqrt[3]{27}$

                                                             = $3^{3/2}$ / 3

=>  $3^{3/2}$ / 3 is not same as  $3^{3/2}$

so $3^{-2/3}$ is not same as  $3^{3/2}$ .