Rewrite in exponential form

Question

(⁴√2x) ³

 

 

*2 and x are both under the radical.

Answer 1

Hi Justin. Taking the square root of a variable is equivalent to raising it to the power of (1/2). Higher level roots have concomitantly lesser fractions:√(x) = x^1/2. ⁴√(x)=x^1/4

 

Hence, in this specific case: (⁴√(/2x))³ = ((2x)^1/4)³ = (2x)^(3*1/4) = (2x)^3/4

 

Good luck!

Alex