How do you simplify #(2b ) ^ { \frac { 3} { 5} }#?

1 Answer
Jan 25, 2018

#root(5)(8b^3)#

Explanation:

There really isn't much we can do here, besides writing it as a radical.

Know that, #root(b)(a^n)=a^(n/b)#.

#:.(2b)^(3/5)=root(5)((2b)^3)#

Simplifying #(2b)^3# into #8b^3#, we get

#root(5)(8b^3)#

That would be the final answer.