Evaluate 25^(5/2)

Problem

25(5/2)

Solution

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

25(5/2)=(√(,25))5

2. Evaluate the square root of the base.

√(,25)=5

3. Substitute the result back into the expression.

5

4. Calculate the final value by multiplying 5 by itself five times.

5×5×5×5×5=3125

Final Answer

25(5/2)=3125

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