Problem

Determine the numerical value of the given expression:
${(\frac{9^{3}}{6^{3}})}^{- 1 / 3}$

Answer

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Answer

$\frac{2}{3}$

Steps

Step 1 ： ${(\frac{9^{3}}{6^{3}})}^{- 1 / 3}$

Step 2 ： ${(\frac{729}{216})}^{- 1 / 3}$

Step 3 ： ${(\frac{216}{729})}^{1 / 3}$

Step 4 ： ${(\frac{8}{27})}^{1 / 3}$

Step 5 ： $\frac{2}{3}$

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