QUESTION: Find a if (a^3+2^3+3^3)^5/2 = 6^5.
(a^3+2^3+3^3)^(5/2) = 6^5
Taking the fifth root of both sides,
(a^3+2^3+3^3)^(1/2) = 6
Squaring both sides,
a^3+2^3+3^3 = 36
expanding the powered numbers,
a^3 + 8 + 27 = 36
doing some arithmetic,
a^3 = 1
Solution: a = 1