What is the radical expression of #4d ^(3/8)#?

1 Answer
Nov 17, 2016

#4d^(3/8) = 4*root8 (d^3) = 4*(root8 d)^3#


Recall a law of indices which deals with fractional indices.

#x^(p/q) = rootq x^p#

The numerator of the index indicates the power and the denominator indicates the root.

#4d^(3/8) = 4*root8 (d^3) = 4*(root8 d)^3#

Note 2 things:

  • The index only applies to the base 'd', not to the 4 as well
  • The power 3 can be under the root or outside the root