Question

How do you simplify `root4((16a^4)^5)`?

Answer 1

`32a^5`

Explanation:

Powers and roots are equally strong operations, so it does not matter which is done first.

However, raising to a power first gives VERY big values to work with, so I prefer to find the root first and then raise to the power.

Note: `2^4 = 16, " so " root4(16) = 2`

`color(red)((root4(16a^4)))^5 = color(red)((2a))^5`

`32a^5`