Question

Find the value of the given expression, and most importantly show the steps please.

Answer 1

Explanation:

`16^(1)/(n)=2` (since by definition
`\sqrt[n]{16} =16^(1)/(n)`)

`(2^4)^(1)/(n)=2`

`2^(4)/(n)=2`

`2^(4)/(n)=2^1`

∴
`(4)/(n) =1` (indices must be equal when bases are equal)

∴
`n=4`