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 125 by identifying that 5×5×5=125

√(3,125)=5

3. Square the result to find the final value.

5=25

Final Answer

125(2/3)=25

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