Question

Is 7^-3/2 not equivalent to 1/^2sqrt7^3

could have sworn the negative makes it 1 over exponent changed into radical form..unless I'm not converting it to radical form properly..

Answer 1

You are correct,

\[\Large 7^{-\frac{3}{2}} = \frac{1}{\sqrt[2]{7^3}}\]

or

\[\Large 7^{-\frac{3}{2}} = \frac{1}{\sqrt{7^3}}\]