You can put this solution on YOUR website! Is it
or ?
In this particular expression it ends up not making any difference. But in other situations it may make a big difference. So please use parentheses to make things clear. Use
"(the cubed root of 4x+1) to the 6th power" for the first one
and
"the cubed root of (4x+1 to the 6th power)" for the second one. Tutors are more likely to help if the problem is clear.
A quick way to simplify this expression takes advantage of fractional exponents. The general pattern for the relationship between radical expressions and expressions using fractional exponents is:
As you can see, both and are both equal to:
The exponent simplifies to a 2:
And last of all we can use FOIL or the pattern to square 4x+1. (I like using the pattern.)
which simplifies to:
This is the simplified result for both and .