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Simplify each expression. 22. \( 8^{\frac{1}{3}} \)

Ask by Reeves Weaver. in the United States
Mar 13,2025

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\( 8^{\frac{1}{3}} = 2 \)

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The expression \( 8^{\frac{1}{3}} \) represents the cube root of 8. Since 2 multiplied by itself three times equals 8 (because \( 2 \times 2 \times 2 = 8 \)), the cube root of 8 is 2. Therefore, \( 8^{\frac{1}{3}} = 2 \). Now, for some mathematical fun: Did you know that cube roots can also be visualized? Imagine a cube made of 8 smaller cubes (1 unit on each side). If you wanted to find the length of one side of that larger cube, you'd simply count the smaller cubes along any edge—which gives you that magical number 2!

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