Questions: Simplify. (-8)^(1/3)

Transcript text: Simplify. \[ (-8)^{\frac{1}{3}} \]

Solution

Step 1: Understand the expression

The expression \((-8)^{\frac{1}{3}}\) represents the cube root of \(-8\). The cube root of a number \(x\) is a value \(y\) such that \(y^3 = x\).

Step 2: Calculate the cube root

We know that \((-2)^3 = -2 \times -2 \times -2 = -8\). Therefore, the cube root of \(-8\) is \(-2\).

\[ \boxed{(-8)^{\frac{1}{3}} = -2} \]

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