Evaluate 64^(4/3)

Problem

64(4/3)

Solution

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

64(4/3)=(√(3,64))4

2. Evaluate the cube root of the base number.

√(3,64)=4

3. Substitute the result back into the expression.

4

4. Calculate the final value by raising the base to the power of 4.

4×4×4×4=256

Final Answer

64(4/3)=256

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