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4) 54, Simplify. \( (-27)^{\frac{1}{3}} \) \( \square \)

Ask by Hilton Evans. in the United States
Jan 31,2025

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\(-3\)

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Bonus Knowledge

Did you know that \( (-27)^{\frac{1}{3}} \) represents the cube root of -27? Unlike square roots, cube roots can handle negative numbers! So, when you take the cube root of -27, you're looking for a number that, when multiplied by itself three times, equals -27. That number is -3, because \((-3) \times (-3) \times (-3) = -27\). For a little fun trivia, cube roots can also be illustrated with real-world objects! Think of a perfect cube, like a sugar cube. If you know that a cube's volume is made up of \(s^3\) (where \(s\) is the side length), finding out the side length using the cube root becomes super handy! For instance, if a cube has a volume of 27 cubic units, the side length is \(3\) units, because \(3^3 = 27\).

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