Problem: If x varies as the cube of y, and y varies as the fifth root of z, then x varies as the nth power of z, where n is:
Answer Choices:
A. 1/15
B. 5/3
C. 3/5
D. 15
E. 8
Solution:
x=k1​y3,y=k2​z1/5;∴x=k1​k2​3z3/5=k2​z3/5 and (C) is the correct choice.