Question

What expressions from the table are equivalent to that expression ?

Answer 1

Explanation:

11).
`p^{(3)/(5)}* \sqrt[10]{p^4}`

=
`p^{(3* 2)/(5* 2)}* \sqrt[10]{p^4}`

=
`p^{(6)/(10)}* \sqrt[10]{p^4}`

=
`\sqrt[10]{p^(6)}*\sqrt[10]{p^4}`

=
`\sqrt[10]{p^(10)}`

= p

Yes

12).
`p^{(3)/(5)}* \sqrt[10]{p^4}=\sqrt[5]{p^3} * \sqrt[10]{p^4}`

But,
`\sqrt[5]{p^3} * \sqrt[10]{p^4}\\eq \sqrt[3]{p^5}* \sqrt[10]{p^4}`

No

13). Since,
`p^{(3)/(5)}* \sqrt[10]{p^4}=p`

Simplify the given expression,

`\sqrt[10]{p^{(23)/(5)}}`

`\sqrt[10]{p^{(23)/(5)}} =p^{(23)/(50)}`

No.

14).
`p^{(12)/(50)}=p^{(6)/(25)}\\eq p`

No.

15).
`p^(24)\\eq p`

No.