Problem 10
You are given that the number a satisfies the following:
(i) Two-thirds of the square of a is a perfect cube.
(ii) Two-fifths of the cube of a is a perfect fifth power.
Determine the smallest possible value of a.
Don't forget to show your
WORK with your solution!
Also, it is preferred that all solutions either be presented in either
a rich text format (RTF) or a portable document format (PDF).
Students, email your solutions to
UNOhighschoolpow@mail.unomaha.edu.
Solutions are due by 11:59PM on Friday November 18th, 2011.
Along with your solution, include your name, your school's name,
the name of your math teacher or math club moderator, and your year in school.
