2010 UNCO Math Contest II Problems/Problem 9

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 $A^3+B^4+C^5=3^D.$

(a) $A=2^8,B=2^6,C=2^5$

(b) $A=3^{20},B=3^{15},C=3^{12},D=61$

2010 UNCO Math Contest II (Problems • Answer Key • Resources)
Preceded by Problem 8	Followed by Problem 10
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All UNCO Math Contest Problems and Solutions