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To evaluate \( 27^{4/3} \), you can follow these steps:
1. Rewrite \( 27 \) in terms of its cube root:
\[
27^{4/3} = (27^{1/3})^4
\]
2. Since the cube root of 27 is 3:
\[
27^{1/3} = 3
\]
3. Now, substitute this value into the expression:
\[
(27^{1/3})^4 = 3^4
\]
4. Calculate \( 3^4 \):
\[
3^4 = 3 \times 3 \times 3 \times 3 = 81
\]
Thus, \( 27^{4/3} = 81 \).
The answer is **81**.