Question

If
`x^(1/4)= (1)/(p)` and
`y^(1/2)= (1)/(q)` , what is the value of
`√(xy)`

Answer 1

`x^(1/4)=\frac1p\implies x=\frac1{p^4}`

`y^(1/2)=\frac1q\implies y=\frac1{q^2}`


`\implies √(xy)=\sqrt{\frac1{p^4}*\frac1{q^2}}=\frac1{p^2q}`