Simplify.
\[
(-27)^{\frac{2}{3}}
\]

Answer

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Answer

\(\boxed{9}\) is the simplified form of \((-27)^{\frac{2}{3}}\).

Steps

Step 1 ：Given the expression \((-27)^{\frac{2}{3}}\), we can simplify it by taking the cube root of -27 and then squaring the result.

Step 2 ：The cube root of -27 is -3, represented as \(\sqrt[3]{-27} = -3\).

Step 3 ：Squaring -3 gives 9, represented as \((-3)^2 = 9\).

Step 4 ：\(\boxed{9}\) is the simplified form of \((-27)^{\frac{2}{3}}\).