Evaluate 100^(3/2)

Problem

100(3/2)

Solution

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

100(3/2)=(√(,100))3

2. Evaluate the square root of the base.

√(,100)=10

3. Substitute the result back into the expression.

10

4. Calculate the final value by cubing the number.

10×10×10=1000

Final Answer

100(3/2)=1000

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