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

asked by guest
on Mar 14, 2025 at 5:25 am



You asked:

Evaluate the expression: −(3(−3)4)3\sqrt[3]{-\left( 3 {\left( -\sqrt{3} \right)}^{4} \right)}

MathBot Answer:

−(3(−3)4)3=3−13\sqrt[3]{-\left( 3 {\left( -\sqrt{3} \right)}^{4} \right)} = 3 \sqrt[3]{-1}

−(3(−3)4)3=−3⋅(−3)43=−3⋅93=−273=−273=3⋅−13\begin{aligned}\sqrt[3]{-\left( 3 {\left( -\sqrt{3} \right)}^{4} \right)}&=\sqrt[3]{- 3 \cdot \left(- \sqrt{3}\right)^{4}}\\&=\sqrt[3]{- 3 \cdot 9}\\&=\sqrt[3]{- 27}\\&=\sqrt[3]{-27}\\&=3 \cdot \sqrt[3]{-1}\end{aligned}

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