Evaluate (125)^(2/3)

Problem

125^(2/3)

Solution

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

125^(2/3)=(√(3,125))^2

2. Evaluate the cube root of the base number.

√(3,125)=5

3. Square the result to find the final value.

5^2=25

Final Answer

125^(2/3)=25

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