Our aim here is to recognize and factor out terms which are 5th powers, so that they can be simplified using the 5th-root.
We first multiply out the expressions under the 5th roots.
` = root(5)((8a^3b^4)(8a^2b^3))`
Then we look for numbers or algebraic terms for which we can find the 5th root.
Then we find those fifth roots, and leave the `2b^2` under the 5th root sign because we cannot do any more with it.
`=2ab root(5)(2b^2) `