In order to rewrite this expression using rational exponents, we can use the following property:
[tex]\sqrt[c]{a^b}=a^{\frac{b}{c}}[/tex]This way, the radical becomes a denominator in the exponent fraction.
So we have:
[tex]\sqrt[]{(4x)^3}=(4x)^{\frac{3}{2}}[/tex]So the equivalent expression is (4x)^(3/2).
