Question

Express (4^1/5)^4 in simplest radical form

Answer 1

`\sqrt[5]{256}`

Explanation:

using the rules of radicals/ exponents

•
`(a^m)^(n)` =
`a^((mn))`

•
`a^{(m)/(n) }` =
`\sqrt[n]{a^m}`

given

`(4^{(1)/(5)) } ^(4)`

=
`4^{((1)/(5))(4)) }`

=
`4^{(4)/(5) }`

=
`\sqrt[5]{4^4}`

=
`\sqrt[5]{256}`