We are asked to find an expression that is equivalent to the expression [tex]x^{-\frac{5}{3}}[/tex]. Since we have a negative exponent, we can make it a positive one by putting the whole expression under 1. This gives us [tex]\frac{1}{x^{\frac{5}{3}}}[/tex]. Notice that the negative sign is gone from the exponent. Now, we can convert the fractional exponent to radical form. We can do this by following - [tex]x^ \frac{a}{b} = \sqrt[b]{x^a} [/tex]. Here, we get that [tex]a=5,b=3[/tex]. So, when we convert the expression to radical form using the formula we got, we get [tex]\boxed{\frac{1}{\sqrt[3]{x^5}}}[/tex], which is our answer. Hope this helped!