Evaluate 4^(3/2)

Problem

4^(3/2)

Solution

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

4^(3/2)=(√(,4))^3

2. Evaluate the square root of the base.

√(,4)=2

3. Substitute the result back into the expression and calculate the power.

2^3=8

Final Answer

4^(3/2)=8

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