Evaluate 27^(2/3)

Problem

27(2/3)

Solution

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

27(2/3)=(√(3,27))2

2. Evaluate the cube root of 27, which is the number that, when multiplied by itself three times, equals 27.

√(3,27)=3

3. Square the result obtained from the cube root.

3=9

Final Answer

27(2/3)=9

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