2010 UNCO Math Contest II Problems/Problem 9

Revision as of 20:18, 19 October 2014 by Timneh (talk | contribs) (moved 2010 UNC Math Contest II Problems/Problem 9 to 2010 UNCO Math Contest II Problems/Problem 9: disambiguation of University of Northern Colorado with University of North Carolina)

Problem

(a) Find integers $A, B$, and $C$ so that $A^3+B^4=C^5.$ Express your answers in exponential form.

(b) Find integers $A, B, C$ and $D$ so that $A^3+B^4+C^5=3^D.$


Solution

See also