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

Answer

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Answer

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