Excel in math, science, and engineering
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Given that \( \sin (2\theta) =\frac{2}{3}\), the value of
\[{\sin^6 \theta}+{\cos^6 \theta}\]
can be written as \( \frac{a}{b} \) with \(a\) and \(b\) coprime positive integers. Find \( a+b\).
This problem is posed by Ryan P.
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