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Answer :
To evaluate the numerical expression (5^(-4))^(1/2), we need to follow the order of operations, which states that we should first simplify the exponentiation inside the parentheses, and then apply the square root.
The correct answer is "1 over 25".
Starting with the exponentiation inside the parentheses: 5^(-4) means the reciprocal of 5 raised to the power of 4. Since any number raised to a negative power is equal to its reciprocal raised to the absolute value of that power, we have:
5^(-4) = 1/(5^4) = 1/625
Now, we can apply the square root to the result:
√(1/625) = 1/√625 = 1/25
Therefore, the numerical expression (5^(-4))^(1/2) simplifies to 1/25.
Hence, the correct answer is "1 over 25".
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