Evaluate 16^(3/2)

Problem

16(3/2)

Solution

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

16(3/2)=(√(,16))3

2. Evaluate the square root of the base.

√(,16)=4

3. Substitute the result back into the expression.

4

4. Calculate the final value by cubing the number.

4×4×4=64

Final Answer

16(3/2)=64

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