Evaluate 27^(4/3)

Problem

27(4/3)

Solution

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

27(4/3)=(√(3,27))4

2. Evaluate the cube root of the base number.

√(3,27)=3

3. Substitute the result back into the expression and raise it to the power of 4.

3=3⋅3⋅3⋅3

4. Calculate the final value.

3=81

Final Answer

27(4/3)=81

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