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Home » Ratio = 2¹⁶⁰. But compute exponent: - Sterling Industries

Ratio = 2¹⁶⁰. But compute exponent: - Sterling Industries

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R + C = 60
R^2 + C^2 = 2000
60^2 = 2000 + 2RC
= 2000 + 2RC
2RC = 1600 \quad \Rightarrow \quad RC = 800
Now use:
R^3 + C^3 = (R + C)(R^2 - RC + C^2)
R^2 - RC + C^2 = 2000 - 800 = 1200
R^3 + C^3 = 60 \times 1200 = 72000
\boxed{72000}

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