Stage: 4 Challenge Level: 
If you can solve quadratic equations and you know what powers of
numbers are then you can solve this problem. Just think about what
numbers raised to what powers give the value one. Take care to
check all the possibilities.
Stage 5 - Reviewed 2012. Algebra - generally. Generalising. Number theory. Mathematical reasoning & proof. Inequality/inequalities. Index notation/Indices. Quadratic equations. Golden ratio. Manipulating algebraic expressions/formulae.
Published October 2003.
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