SOLUTION: Write an algebraic expression for each phrase using rational exponents to denote all nth roots. a. the fifth root of x b. the cube root of the quantity 2 plus z c. two plus th

Algebra ->  Rational-functions -> SOLUTION: Write an algebraic expression for each phrase using rational exponents to denote all nth roots. a. the fifth root of x b. the cube root of the quantity 2 plus z c. two plus th      Log On


   

Question 228608: Write an algebraic expression for each phrase using rational exponents to denote all nth roots.
a. the fifth root of x
b. the cube root of the quantity 2 plus z
c. two plus the cube root of z
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
a. "the fifth root of x" translates to root%285%2Cx%29 which is equal to x%5E%281%2F5%29%5E%22%22

b. "the cube root of the quantity 2 plus z" algebraically means root%283%2C2%2Bz%29 which in rational exponent form is %282%2Bz%29%5E%281%2F3%29%5E%22%22

c. "two plus the cube root of z" is written as 2%2Broot%283%2Cz%29 which converts to 2%2Bz%5E%281%2F3%29%5E%22%22 (note: the exponent is only over 'z')