Question

\sqrt[3]{( - 64)} " align="absmiddle" class="latex-formula">
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Answer 1

Answer:

$-4$

Step-by-step 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, $\:\sqrt[3]{\left(\:-\:64\right)}\:=\:-4$