Notes

Questions
\(\textbf{1)}\) \(\sqrt[3]{16}\)
The answer is \(2\sqrt[3]{2}\)
\(\,\,\,\,\,\sqrt[3]{16}\)
\(\,\,\,\,\,\sqrt[3]{2 \cdot 2 \cdot 2 \cdot 2}\)
\(\,\,\,\,\,\sqrt[3]{2 \cdot 2 \cdot 2} \cdot \sqrt[3]{2} \)
\(\,\,\,\,\,2 \cdot \sqrt[3]{2} \)
The answer is \(2\sqrt[3]{2}\)
\(\,\,\,\,\,\sqrt[3]{16}\)
\(\,\,\,\,\,\sqrt[3]{2 \cdot 2 \cdot 2 \cdot 2}\)
\(\,\,\,\,\,\sqrt[3]{2 \cdot 2 \cdot 2} \cdot \sqrt[3]{2} \)
\(\,\,\,\,\,2 \cdot \sqrt[3]{2} \)
The answer is \(2\sqrt[3]{2}\)
\(\textbf{2)}\) \(\sqrt[3]{-27}\)
The answer is \(-3\)
\(\textbf{3)}\) \(\sqrt[3]{1000}\)
The answer is \(10\)
\(\textbf{4)}\) \(\sqrt[3]{54}\) The answer is \(3\sqrt[3]{2}\)
\(\textbf{5)}\) \(\sqrt[3]{-1}\) The answer is \(-1\)
\(\textbf{6)}\) \(\sqrt[3]{1}\) The answer is \(1\)
\(\textbf{7)}\) \(\sqrt[3]{-8}\) The answer is \(-2\)
\(\textbf{8)}\) \(\sqrt[3]{24a^2b^3c^5d^6}\) The answer is \(2bcd^2\sqrt[3]{3a^2c^2}\)
\(\textbf{9)}\) \(\sqrt[3]{-10x^2y^{10}z^3}\) The answer is \(-y^3z\sqrt[3]{10x^2y}\)
\(\textbf{10)}\) \(\sqrt[3]{-32xy^2z^9}\) The answer is \(-2y^3z\sqrt[3]{4x^2y}\)
\(\textbf{11)}\) \(\sqrt[3]{-x^3}\) The answer is \(-x\)
