Evaluate 729^(2/3)

Problem

729(2/3)

Solution

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

729(2/3)=(√(3,729))2

2. Evaluate the cube root of 729 by identifying that 9×9×9=729

√(3,729)=9

3. Square the result to find the final value.

9=81

Final Answer

729(2/3)=81

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