Question

Which expression is equivalent to X O 47 1 X 1 ww 3 Vis 5 5 6 Which expression is equivalent to X O 47 1 X 1 ww 3 Vis 5 5 6

Answer 1

`\begin{gathered} Given \\ x^{-(5)/(3)} \end{gathered}`
`\begin{gathered} Appying\text{ negative exponential rule;} \\ ie\text{ x}^(-a)=(1)/(x^a) \end{gathered}`
`x^{-(5)/(3)}=\frac{1}{x^{(5)/(3)}}`
`\begin{gathered} Applying\text{ fractional exponential rule;} \\ ie\text{ x}^{(a)/(b)}=\sqrt[b]{x}^a \end{gathered}`
`x^{-(5)/(3)}=\frac{1}{x^{(5)/(3)}}=\frac{1}{\sqrt[3]{x^5}}`

Final answer: