Question

How do you write `(16a^6)^(3/4)` in radical form?

Answer 1

`8a^4sqrta`

Explanation:

An index which is a fraction is made up of 2 parts - a root and a power.

`(16a^6)^(3/4)` can be written as `root(4)((16a^6))^3`

=`root4(16)^3 xx root4(a^6)^3`

=`2^3 xx a^(18/4)`
=`8 xxa^(9/2) = 8 xx a^(8/2) xx a^(1/2)`

=`8a^4sqrta`