Question

Help!? i dont understand. First question on top, and second question in bottom

Answer 1

We know that:


`$\sqrt[a]{x^b}=x^{(b)/(a)}`

so:

1)


`$(\sqrt[3]{t^4})\cdot(t^{(-1)/(2)})=(t^{(4)/(3)})\cdot(t^{(-1)/(2)})= t^{(4)/(3)+(-1)/(2)}=t^{(8)/(6)+(-3)/(6)}=t^{(8-3)/(6)}=\boxed{t^{(5)/(6)}=\sqrt[6]{t^5}}`

2)


`x^{-(2)/(5)}=\frac{1}{x^{(2)/(5)}}=\boxed{\frac{1}{\sqrt[5]{x^2}}}`

Answer 4)