If \(a^2+\frac{1}{a^2}=\frac{7}{3}\), then what is the value of \(\left(a^3-\frac{1}{a^3}\right)\)?

1
\(\frac{5}{3 \sqrt{3}}\)
2
\(\frac{10}{3 \sqrt{3}}\)
3
\(\frac{7}{3 \sqrt{3}}\)
4
\(\frac{8}{3 \sqrt{3}}\)

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