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3 votes

\sqrt[3]{( - 64)}


1 Answer

4 votes

Answer:


-4

Explanation:

Step 1: Apply the rule


\left(-64\right)=-64\\\\=\sqrt[3]{-64}

Step 2: Apply the radical rule


\sqrt[3]{-64}=-\sqrt[3]{64}\\\\=-\sqrt[3]{64}

Step 3: Factor the number


\:64=4^3\\\\=-\sqrt[3]{4^3}

Step 4: Apply the radical rule


\sqrt[3]{4^3}=4\\\\=-4

Therefore,
\:\sqrt[3]{\left(\:-\:64\right)}\:=\:-4

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