Evaluate (-8)^(2/3)

Problem

(−8)(2/3)

Solution

1. Rewrite the expression using the properties of rational exponents, where a(m/n)=(√(n,a))m

(−8)(2/3)=(√(3,−8))2

2. Evaluate the cube root of −8 which is the number that, when multiplied by itself three times, equals −8

√(3,−8)=−2

3. Square the result obtained from the cube root.

(−2)2=4

Final Answer

(−8)(2/3)=4

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