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Evaluate (-8)^(1/3)

Problem

(−8)(1/3)

Solution

  1. Identify the operation as finding the cube root of a negative number.

  2. Apply the property of exponents where a(1/n)=√(n,a)

  3. Rewrite the expression using radical notation: √(3,−8)

  4. Determine the number that, when multiplied by itself three times, equals −8

  5. Calculate the result since (−2)×(−2)×(−2)=−8

Final Answer

(−8)(1/3)=−2


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